Edit Profile (opens in new tab) Lyubich, Yuriĭ Il’ich Compute Distance To: Compute Author ID: lyubich.yurii-ilich Published as: Lyubich, Yu. I.; Lyubich, Yu.; Lyubich, Yuri; Lyubich, Yuri I.; Liubitch, Yuri Ilyich; Lyubich, Yurij I.; Ljubič, Ju. I.; Lubich, Yu. I.; Lyubich, J. I.; Lyubich, Yu I.; Lyubič, Yu. I.; Liubitch, Y.; Lyubich, Y. more...less Further Spellings: Любич Юрий Ильич External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru Documents Indexed: 202 Publications since 1955, including 14 Books 2 Contributions as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 61 Co-Authors with 97 Joint Publications 1,572 Co-Co-Authors all top 5 Co-Authors 109 single-authored 12 Tkachenko, Vadim Aleksandrovich 7 Lyubich, Mikhail 7 Matsaev, Vladimir Igorevich 6 Belitskii, Genrich R. 6 Kirzhner, Valery M. 6 Krapivin, A. A. 5 Glazman, Izrail Markovich 5 Marchenko, Vladimir Aleksandrovich 4 Levin, Boris Yakovlevich 4 Shatalova, Oksana A. 4 Tabachnikov, M. I. 3 Kun, L. A. 3 Lomonosov, Victor I. 3 Maistrovskii, G. D. 3 Majstrovskij, G. D. 3 Ol’khovskiĭ, Yu. G. 3 Ostrovskiĭ, Iosif Vladimirovich 3 Shor, L. A. 3 Vu Kuok Fong 2 Akhiezer, Naum Il’ich 2 Barker, George Phillip 2 Domar, Yngve 2 Dyn’kin, Evseĭ Mordukhovich 2 Fel’dman, Gennadiĭ Mikhaĭlovich 2 Frankfurt, Richard 2 Gurariĭ, Volodymyr Petrovych 2 Hasumi, Morisuke 2 Ismagilov, Rais Sal’manovich 2 Kadets, Mikhail I. 2 Kahane, Jean-Pierre 2 Kolmogorov, Andreĭ Nikolaevich 2 Korenblum, Boris 2 Krasichkov-Ternovskii, I. F. 2 Kreĭn, Mark Grigor’evich 2 Kürti, G. 2 Levitan, Boris Moiseevich 2 Nikol’skiĭ, Nikolaĭ Kapitonovich 2 Palamodov, Victor Pavlovitch 2 Pogorelov, Alekseĭ Vasil’evich 2 Povzner, Aleksandr Yakovlevich 2 Shamoyan, Faĭzo Agitovich 2 Shields, Allen L. 2 Trutnev, V. M. 2 Vu Kuong Fong 2 Waelbroeck, Lucien A. 2 Williams, David L. 2 Zhmud, Emmanuel 1 Badea, Catalin 1 Damadian, Henri 1 Enflo, Per Henrik 1 Fonf, Vladimir P. 1 Gohberg, Israel 1 Gurariĭ, Volodymyr Illich 1 Gurarij, D. L. 1 Khavinson, Semën Yakovlevich 1 Khurslov, E. Ya 1 Livshits, Emmanuil M. 1 Machaev, V. I. 1 Markus, Alexander S. 1 Milman, Vitali D. 1 Novikov, Sergeĭ Petrovich 1 Ostrovskii, Mikhail Iosifovich 1 Pastur, Leonid Andreevich 1 Plichko, Anatoliĭ Mykolaĭovych 1 Popov, Mykhaĭlo Mykhaĭlovych 1 Ryndin, Anna 1 Semënov, Evgeniĭ Mikhaĭlovich 1 Shapiro, A. P. 1 Shilov, Georgiĭ Evgen’evich 1 Sodin, Mikhail 1 Tkatsenko, V. A. 1 Troyanski, Stanimir L. 1 Tsedenbayar, Dashdondog 1 Uspenskiĭ, Vladimir Andreevich 1 Vaserstein, Leonid N. 1 Vejtsblit, A. I. 1 Vilenkin, Naum Yakovlevich 1 Vũ Quôc Phóng 1 Zalcman, Lawrence Allen 1 Zemánek, Jaroslav all top 5 Serials 21 Soviet Mathematics. Doklady 17 Uspekhi Matematicheskikh Nauk [N. S.] 17 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 10 Studia Mathematica 9 Journal of Soviet Mathematics 7 Matematicheskiĭ Sbornik. Novaya Seriya 7 Sibirskiĭ Matematicheskiĭ Zhurnal 6 Siberian Mathematical Journal 5 Russian Mathematical Surveys 5 Functional Analysis and its Applications 4 Integral Equations and Operator Theory 4 Problemy Peredachi Informatsii 4 Translations. Series 2. American Mathematical Society 3 Doklady Akademii Nauk SSSR 3 Problems of Information Transmission 3 Operator Theory: Advances and Applications 2 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 2 Ukrainian Mathematical Journal 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Geometriae Dedicata 2 Selecta Mathematica Sovietica 2 Linear Algebra and its Applications 2 Vestnik Khar’kovskogo Universiteta 2 St. Petersburg Mathematical Journal 2 Matematicheskaya Fizika, Analiz, Geometriya 2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Biometrical Journal 1 Differentsial’nye Uravneniya 1 Differential Equations 1 Fundamenta Mathematicae 1 Journal of Approximation Theory 1 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 1 Proceedings of the American Mathematical Society 1 Soviet Mathematics 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Applied Mathematics Letters 1 Designs, Codes and Cryptography 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Mathematics of the USSR, Sbornik 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 The Ramanujan Journal 1 Positivity 1 Visnyk Kharkivs’kogo Universytetu. Seriya Matematyka, Prykladna Matematyka i Mekhanika 1 Biomathematics (Berlin) 1 Israel Mathematical Conference Proceedings 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Journal of Theoretical Biology all top 5 Fields 50 Operator theory (47-XX) 42 Biology and other natural sciences (92-XX) 25 Functional analysis (46-XX) 18 Nonassociative rings and algebras (17-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 12 Topological groups, Lie groups (22-XX) 10 History and biography (01-XX) 10 Ordinary differential equations (34-XX) 10 Abstract harmonic analysis (43-XX) 9 Convex and discrete geometry (52-XX) 7 General and overarching topics; collections (00-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Difference and functional equations (39-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 4 General topology (54-XX) 4 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Geometry (51-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Algebraic topology (55-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 678 times in 559 Documents Cited by ▼ Year ▼ Asymptotic stability of linear differential equations in Banach spaces. Zbl 0639.34050Lyubich, Yu. I.; Vu Quôc Phóng 100 1988 Mathematical structures in population genetics. Translated from the Russian by D. Vulis and A. Karpov. Edited by E. Akin. Zbl 0747.92019Lyubich, Yuri I. 49 1992 Mathematical structures in population genetics. (Математические структуры в популяционной генетике.) Zbl 0593.92011Lyubich, Yu. I. 47 1983 Endlichdimensionale lineare Analysis in Aufgaben. (Конечномернуй линейный анализ в задачах.) Zbl 0188.07401Glazman, I. M.; Lyubich, Yu. I. 33 1969 Spectral localization, power boundedness and invariant subspaces under Ritt’s type condition. Zbl 0945.47005Lyubich, Yu. 29 1999 Finite-dimensional linear analysis: A systematic presentation in problem form. Translated and edited by G. P. Barker and G. Kuerti. Zbl 0332.15001Glazman, I. M.; Lyubich, Yu. I. 26 1974 Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs. Zbl 0785.52002Lyubich, Yuri I.; Vaserstein, Leonid N. 24 1993 Finite-dimensional linear analysis. A systematic presentation in problem form. Translated from the Russian and edited by G. P. Barker and G. Kuerti. Reprint of the 1974 edition. Zbl 1115.46001Glazman, I. M.; Ljubič, Ju. I. 16 2006 Introduction to the theory of Banach representations of groups. Transl. from the Russian by A. Jacob. Zbl 0635.22001Lyubich, Yurij I. 14 1988 Norms of matrices and their applications. (Нормы матриц и их приложения.) Zbl 0568.15016Belitskiĭ, G. R.; Lyubich, Yu. I. 12 1984 A spectral criterion for the almost periodicity of one-parameter semigroups. Zbl 0695.47033Vu Kuok Fong; Lyubich, Yu. I. 12 1990 On operators with a separable spectrum. Zbl 0158.14602Lyubich, Yu. I.; Matsaev, V. I. 12 1965 Isometric embeddings of finite-dimensional \(\ell_p\)-spaces over the quaternions. Zbl 1076.46005Lyubich, Yu. I.; Shatalova, O. A. 9 2004 Geometric, spectral and asymptotic properties of averaged products of projections in Banach spaces. Zbl 1215.47004Badea, Catalin; Lyubich, Yuri I. 9 2010 On conditions for the completeness of the system of eigenvectors of a correct operator. Zbl 0126.32001Lyubich, Yu. I. 9 1963 Linear functional analysis. Zbl 0751.46003Lyubich, Yu. I. 8 1992 The real-analytic solutions of the Abel functional equation. Zbl 0924.39012Belitskii, G.; Lyubich, Yu. 8 1999 The Sylvester-Ramanujan system of equations and the complex power moment problem. Zbl 1078.30507Lyubich, Yuri I. 8 2004 The Abel equation and total solvability of linear functional equations. Zbl 0889.39017Belitskii, G.; Lyubich, Yu. 8 1998 On representations with a separable spectrum. Zbl 0285.22004Lyubich, Yu. I.; Machaev, V. I.; Fel’dman, G. M. 8 1973 On operator norms of matrices. Zbl 0161.02902Lyubich, Yu. I. 8 1963 Multilocus dynamics under haploid selection. Zbl 0866.92014Kirzhner, Valery; Lyubich, Yuri 7 1997 Selection-induced convergence to equilibrium in a single-locus autosomal population. Zbl 0458.92011Lyubich, Yu. I.; Majstrovskij, G. D.; Ol’khovskij, Yu. G. 7 1980 Analyse lineaire dans les espaces de dimensions finies. Manuel en problemes. Übersetzung aus dem Russischen von Henri Damadian. Zbl 0243.15002Glazman, I.; Liubitch, Y. 7 1972 Estimates for the optimal determination of indeterminate autonomous automata. (Abschätzungen für die optimale Determinierung nichtdeterministischer autonomer Automaten.) Zbl 0192.08104Lyubich, Yu. I. 7 1964 A spectral criterion of asymptotic almost periodicity for uniformly continuous representations of Abelian semigroups. Zbl 0699.22006Vu Kuok Fong; Lyubich, Yu. I. 6 1988 On inequalities between the powers of a linear operator. Zbl 0158.14403Lyubich, Yu. I. 6 1964 The classical and local Laplace transformation in an abstract Cauchy problem. Zbl 0173.12002Lyubich, Yu. I. 6 1966 Convergence to equilibrium under the action of selection in a single- locus autosomal population. Zbl 0429.92017Lyubich, Yu. I.; Majstrovskij, G. D.; Ol’khovskij, Yu. G. 5 1980 Convergence to equilibrium in a polylocus polyallele population with additive selection. Zbl 0495.92008Kun, L. A.; Lyubich, Yu. I. 5 1980 Removal of the boundary spectrum for almost periodic operators and representations of semigroups. Zbl 0629.47033Lyubich, M. Yu.; Lyubich, Yu. I. 5 1986 The power boundedness and resolvent conditions for functions of the classical Volterra operator. Zbl 1191.47004Lyubich, Yuri 5 2010 Introduction to the theory of Banach group representations. Textbook. (Vvedenie v teoriyu banakhovykh predstavelenij grupp. Uchebnoe posobie). Zbl 0623.22001Lyubich, Yu. I. 5 1985 Connectivity of level sets of quadratic forms and Hausdorff-Toeplitz type theorems. Zbl 0891.15023Lyubich, Yuri; Markus, Alexander 5 1997 Algebraic methods in evolutionary genetics. Zbl 0401.92010Lyubich, Yu. I. 5 1978 Two-level Bernsteinian populations. Zbl 0334.92019Lyubich, Yu. I. 5 1976 The single-point spectrum operators satisfying Ritt’s resolvent condition. Zbl 0988.47005Lyubich, Yu. 5 2001 Subharmonic functions on a directed graph. Zbl 0194.13702Lyubich, Yu. I.; Tabachnikov, M. I. 5 1969 On the spectrum of a representation of an abelian topological group. Zbl 0235.22008Lyubich, Yu. I. 5 1971 On tight projective designs. Zbl 1247.05050Lyubich, Yu. I. 4 2009 A classification of some types of Bernstein algebras. Zbl 0612.17003Lyubich, Yu. I. 4 1987 Perron-Frobenius theory for Banach spaces with a hyperbolic cone. Zbl 0836.47028Lyubich, Yu. 4 1995 Proper Bernstein populations. Zbl 0398.92025Lyubich, Yu. I. 4 1977 On the boundary spectrum of contractions in Minkowski spaces. Zbl 0209.44801Lyubich, Yu. I. 4 1970 Almost periodic functions in the spectral analysis of operators. Zbl 0096.08501Lyubich, Yu. I. 4 1960 Convergence to equilibrium under the action of additive selection in a multilocus multiallelic population. Zbl 0432.92018Kun, L. A.; Lyubich, Yu. I. 3 1979 A spectral criterion for almost periodicity of one-parametric semigroups. Zbl 0655.47034Vu Kuok Fong; Lyubich, Yu. I. 3 1987 Duality of spectral subspaces and conditions for the separation of the spectrum of a bounded linear operator. Zbl 0366.47001Lomonosov, V. I.; Lyubich, Yu. I.; Matsaev, V. I. 3 1974 Mathematical theory of phenotypical selection. Zbl 0988.92022Lyubich, Yuri; Kirzhner, Valery; Ryndin, Anna 3 2001 Precompactness in the uniform ergodic theory. Zbl 0817.47014Lyubich, Yu.; Zemánek, Jaroslav 3 1994 Separation of roots of matrix and operator polynomials. Zbl 0896.47008Lyubich, Yu. 3 1997 Perron-Frobenius theory for finite-dimensional spaces with a hyperbolic cone. Zbl 0823.15021Lyubich, Yu. 3 1995 Euclidean subspaces of the complex spaces \(\ell_p^n\) constructed by orbits of finite subgroups of \(SU(m)\). Zbl 0993.46006Lyubich, Yuri I.; Shatalova, Oksana A. 3 2001 Conditionality in general computational problems. Zbl 0198.47902Lyubich, Yu. I. 3 1966 The general theory of relaxation processes for convex functionals. Zbl 0207.45001Lyubich, Yu. I.; Maĭstrovskiĭ, G. D. 3 1970 Estimates of the number of states that arise in the determinization of a nondeterministic autonomous automaton. Zbl 0131.01003Lyubich, J. I. 3 1964 Zur Theorie von Floquet für Gleichungen mit retardiertem Argument. Zbl 0169.11702Lyubich, Yu. I.; Tkachenko, V. A. 3 1969 Quasilinear Bernstein populations. Zbl 0431.92023Lyubich, Yu. I. 2 1976 A topological approach to a problem in mathematical genetics. Zbl 0446.92012Lyubich, Yu. I. 2 1979 Lower bounds for projective designs, cubature formulas and related isometric embeddings. Zbl 1193.05050Lyubich, Yu. I. 2 2009 The cohomological equations in nonsmooth categories. Zbl 1390.39089Lyubich, Yu. I. 2 2017 Linear functional analysis. Zbl 0683.46001Lyubich, Yu. I. 2 1988 Polynomial functions on the classical projective spaces. Zbl 1081.46012Lyubich, Yu. I.; Shatalova, O. A. 2 2005 The multilocus multiplicative selection equilibria. Zbl 1040.92030Kirzhner, V.; Lyubich, Y. 2 2003 Spectral theory of almost periodic representations of semigroups. Zbl 0557.22006Lyubich, M. Yu.; Lyubich, Yu. I. 2 1984 The Bernstein problem in mathematical genetics and Bernstein algebras. Zbl 0822.17041Lyubich, Yu. I. 2 1994 Dissipative actions and almost-periodic representations of Abelian semigroups. Zbl 0702.54024Lyubich, Yu. I. 2 1988 On the normal solvability of cohomological equations on compact topological spaces. Zbl 0889.39016Belitskii, G.; Lyubich, Yu. I. 2 1998 Ultranormal case of the Bernstein problem. Zbl 0908.17023Lyubich, Yu. I. 2 1997 Exponential numbers of linear operators in normed spaces. Zbl 0836.47016Enflo, P.; Gurarii, V. I.; Lomonosov, V.; Lyubich, Yu. I. 2 1995 The norms and singular numbers of polynomials of the classical Volterra operator in \(L_2(0,1)\). Zbl 1216.47029Lyubich, Yuri; Tsedenbayar, Dashdondog 2 2010 Gauss type complex quadrature formulae, power moment problem and elliptic curves. Zbl 1093.41018Lyubich, Yuri I. 2 2002 Banach-Bernstein algebras and their applications. Zbl 1041.46032Lyubich, Yu. 2 2000 On the spectral theory of linear operators in Banach spaces. Zbl 0095.09302Lyubich, Yu. I.; Matsaev, V. I. 2 1960 Über Ungleichungen zwischen den Potenzen eines linearen Operators. Zbl 0096.08701Lyubich, Yu. I. 2 1960 Theory and certain applications of the local Laplace transform. (Theorie und einige Anwendungen der lokalen Laplace-Transformation.) Zbl 0165.14001Lyubich, Yu. I.; Tkachenko, V. A. 2 1966 Linear operators in one-dimensional extensions of Banach spaces. Zbl 0914.47001Lyubich, Yuri 1 1998 Topological treatment of a problem in mathematical genetics. Zbl 0424.92014Lyubich, Yu. I. 1 1979 Perron-Frobenius theory for almost periodic operators and representations of semigroups. Zbl 0606.22002Lyubich, M. Yu.; Lyubich, Yu. I. 1 1986 The kinematic method in geometrical problems. Transl. from the Russian by V. Shokurov. Zbl 0479.51018Lyubich, Yu. I.; Shor, L. A. 1 1980 On the mathematical theory of hypercycles. Zbl 0664.34056Lyubich, Yu. I. 1 1988 General form of nonnegative projections in a space of continuous functions on a compactum. Zbl 0685.47033Lyubich, M. Yu.; Lyubich, Yu. I. 1 1985 Convergence to equilibrium under the action of selection in a single locus population. Zbl 0349.92016Lyubich, Yu. I.; Majstrovskij, G. D.; Ol’khovskij, Yu. G. 1 1976 Rates of convergence of coordinate relaxation for a quadratic functional. Zbl 0183.17702Lyubich, Yu. I. 1 1967 Über einen Satz von Marik und Ptak. Zbl 0186.33801Lyubich, Yu. I.; Tabachnikov, M. I. 1 1969 Investigation of the deficiency of the abstract Cauchy problem. Zbl 0186.47201Lyubich, Yu. I. 1 1966 Convergence of the process of steepest descent. Zbl 0191.15904Lyubich, Yu. I. 1 1968 The boundary spectrum of linear operators in finite-dimensional spaces. Zbl 0913.47003Lyubich, Yuri 1 1997 Matrix norms and their applications. Transl. from the Russian by A. Iacob. Zbl 0645.15019Belitskij, G. R.; Lyubich, Yu. I. 1 1988 Upper bound for isometric embeddings \(\ell _2^m\rightarrow \ell _p^n\). Zbl 1159.46007Lyubich, Yu. I. 1 2008 Die Struktur einer Halbgruppe von Operatoren mit vorgeschriebener Norm. Zbl 0246.47048Lyubich, Yu. I. 1 1966 On the separability of the spectrum of a representation of a locally compact abelian group. Zbl 0251.22002Lyubich, Yu. I.; Matsaev, V. I.; Fel’dman, G. M. 1 1971 An infinite-dimensional theorem analogous to Lie’s weight theorem. Zbl 0278.22005Gurarij, D. L.; Lyubich, Yu. I. 1 1973 On the mathematical theory of heredity. Zbl 0291.92022Lyubich, Yu. I. 1 1973 Konstruktion Bernsteinscher Populationen vom Typ (n-1,1). Zbl 0296.92005Lyubich, Yu. I. 1 1973 Two-level Bernstein populations. Zbl 0317.92017Lyubich, Yu. I. 1 1974 Konstruktion Bernsteinscher Populationen vom Typ \((2,n-2)\). Zbl 0317.92018Lyubich, Yu. I. 1 1975 Quasi-analyticity criterion for abstract operators. Zbl 0202.13503Lyubich, Yu. I.; Tkachenko, V. A. 1 1970 A general theory of relaxation processes for convex functionals. (Eine allgemeine Theorie der Relaxationsprozesse für konvexe Funktionale.) Zbl 0202.42202Lyubich, Yu. I.; Maĭstrovskiĭ, G. D. 1 1970 On the stability of relaxation processes. Zbl 0215.20802Lyubich, Yu. I.; Maĭstrovskiĭ, G. D. 1 1970 The cohomological equations in nonsmooth categories. Zbl 1390.39089Lyubich, Yu. I. 2 2017 Geometric, spectral and asymptotic properties of averaged products of projections in Banach spaces. Zbl 1215.47004Badea, Catalin; Lyubich, Yuri I. 9 2010 The power boundedness and resolvent conditions for functions of the classical Volterra operator. Zbl 1191.47004Lyubich, Yuri 5 2010 The norms and singular numbers of polynomials of the classical Volterra operator in \(L_2(0,1)\). Zbl 1216.47029Lyubich, Yuri; Tsedenbayar, Dashdondog 2 2010 On tight projective designs. Zbl 1247.05050Lyubich, Yu. I. 4 2009 Lower bounds for projective designs, cubature formulas and related isometric embeddings. Zbl 1193.05050Lyubich, Yu. I. 2 2009 Upper bound for isometric embeddings \(\ell _2^m\rightarrow \ell _p^n\). Zbl 1159.46007Lyubich, Yu. I. 1 2008 Finite-dimensional linear analysis. A systematic presentation in problem form. Translated from the Russian and edited by G. P. Barker and G. Kuerti. Reprint of the 1974 edition. Zbl 1115.46001Glazman, I. M.; Ljubič, Ju. I. 16 2006 Polynomial functions on the classical projective spaces. Zbl 1081.46012Lyubich, Yu. I.; Shatalova, O. A. 2 2005 Isometric embeddings of finite-dimensional \(\ell_p\)-spaces over the quaternions. Zbl 1076.46005Lyubich, Yu. I.; Shatalova, O. A. 9 2004 The Sylvester-Ramanujan system of equations and the complex power moment problem. Zbl 1078.30507Lyubich, Yuri I. 8 2004 The multilocus multiplicative selection equilibria. Zbl 1040.92030Kirzhner, V.; Lyubich, Y. 2 2003 Gauss type complex quadrature formulae, power moment problem and elliptic curves. Zbl 1093.41018Lyubich, Yuri I. 2 2002 The single-point spectrum operators satisfying Ritt’s resolvent condition. Zbl 0988.47005Lyubich, Yu. 5 2001 Mathematical theory of phenotypical selection. Zbl 0988.92022Lyubich, Yuri; Kirzhner, Valery; Ryndin, Anna 3 2001 Euclidean subspaces of the complex spaces \(\ell_p^n\) constructed by orbits of finite subgroups of \(SU(m)\). Zbl 0993.46006Lyubich, Yuri I.; Shatalova, Oksana A. 3 2001 Banach-Bernstein algebras and their applications. Zbl 1041.46032Lyubich, Yu. 2 2000 Spectral localization, power boundedness and invariant subspaces under Ritt’s type condition. Zbl 0945.47005Lyubich, Yu. 29 1999 The real-analytic solutions of the Abel functional equation. Zbl 0924.39012Belitskii, G.; Lyubich, Yu. 8 1999 The Abel equation and total solvability of linear functional equations. Zbl 0889.39017Belitskii, G.; Lyubich, Yu. 8 1998 On the normal solvability of cohomological equations on compact topological spaces. Zbl 0889.39016Belitskii, G.; Lyubich, Yu. I. 2 1998 Linear operators in one-dimensional extensions of Banach spaces. Zbl 0914.47001Lyubich, Yuri 1 1998 Multilocus dynamics under haploid selection. Zbl 0866.92014Kirzhner, Valery; Lyubich, Yuri 7 1997 Connectivity of level sets of quadratic forms and Hausdorff-Toeplitz type theorems. Zbl 0891.15023Lyubich, Yuri; Markus, Alexander 5 1997 Separation of roots of matrix and operator polynomials. Zbl 0896.47008Lyubich, Yu. 3 1997 Ultranormal case of the Bernstein problem. Zbl 0908.17023Lyubich, Yu. I. 2 1997 The boundary spectrum of linear operators in finite-dimensional spaces. Zbl 0913.47003Lyubich, Yuri 1 1997 Perron-Frobenius theory for Banach spaces with a hyperbolic cone. Zbl 0836.47028Lyubich, Yu. 4 1995 Perron-Frobenius theory for finite-dimensional spaces with a hyperbolic cone. Zbl 0823.15021Lyubich, Yu. 3 1995 Exponential numbers of linear operators in normed spaces. Zbl 0836.47016Enflo, P.; Gurarii, V. I.; Lomonosov, V.; Lyubich, Yu. I. 2 1995 Precompactness in the uniform ergodic theory. Zbl 0817.47014Lyubich, Yu.; Zemánek, Jaroslav 3 1994 The Bernstein problem in mathematical genetics and Bernstein algebras. Zbl 0822.17041Lyubich, Yu. I. 2 1994 Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs. Zbl 0785.52002Lyubich, Yuri I.; Vaserstein, Leonid N. 24 1993 Mathematical structures in population genetics. Translated from the Russian by D. Vulis and A. Karpov. Edited by E. Akin. Zbl 0747.92019Lyubich, Yuri I. 49 1992 Linear functional analysis. Zbl 0751.46003Lyubich, Yu. I. 8 1992 A spectral criterion for the almost periodicity of one-parameter semigroups. Zbl 0695.47033Vu Kuok Fong; Lyubich, Yu. I. 12 1990 Asymptotic stability of linear differential equations in Banach spaces. Zbl 0639.34050Lyubich, Yu. I.; Vu Quôc Phóng 100 1988 Introduction to the theory of Banach representations of groups. Transl. from the Russian by A. Jacob. Zbl 0635.22001Lyubich, Yurij I. 14 1988 A spectral criterion of asymptotic almost periodicity for uniformly continuous representations of Abelian semigroups. Zbl 0699.22006Vu Kuok Fong; Lyubich, Yu. I. 6 1988 Linear functional analysis. Zbl 0683.46001Lyubich, Yu. I. 2 1988 Dissipative actions and almost-periodic representations of Abelian semigroups. Zbl 0702.54024Lyubich, Yu. I. 2 1988 On the mathematical theory of hypercycles. Zbl 0664.34056Lyubich, Yu. I. 1 1988 Matrix norms and their applications. Transl. from the Russian by A. Iacob. Zbl 0645.15019Belitskij, G. R.; Lyubich, Yu. I. 1 1988 A classification of some types of Bernstein algebras. Zbl 0612.17003Lyubich, Yu. I. 4 1987 A spectral criterion for almost periodicity of one-parametric semigroups. Zbl 0655.47034Vu Kuok Fong; Lyubich, Yu. I. 3 1987 Removal of the boundary spectrum for almost periodic operators and representations of semigroups. Zbl 0629.47033Lyubich, M. Yu.; Lyubich, Yu. I. 5 1986 Perron-Frobenius theory for almost periodic operators and representations of semigroups. Zbl 0606.22002Lyubich, M. Yu.; Lyubich, Yu. I. 1 1986 Introduction to the theory of Banach group representations. Textbook. (Vvedenie v teoriyu banakhovykh predstavelenij grupp. Uchebnoe posobie). Zbl 0623.22001Lyubich, Yu. I. 5 1985 General form of nonnegative projections in a space of continuous functions on a compactum. Zbl 0685.47033Lyubich, M. Yu.; Lyubich, Yu. I. 1 1985 Norms of matrices and their applications. (Нормы матриц и их приложения.) Zbl 0568.15016Belitskiĭ, G. R.; Lyubich, Yu. I. 12 1984 Spectral theory of almost periodic representations of semigroups. Zbl 0557.22006Lyubich, M. Yu.; Lyubich, Yu. I. 2 1984 Mathematical structures in population genetics. (Математические структуры в популяционной генетике.) Zbl 0593.92011Lyubich, Yu. I. 47 1983 Selection-induced convergence to equilibrium in a single-locus autosomal population. Zbl 0458.92011Lyubich, Yu. I.; Majstrovskij, G. D.; Ol’khovskij, Yu. G. 7 1980 Convergence to equilibrium under the action of selection in a single- locus autosomal population. Zbl 0429.92017Lyubich, Yu. I.; Majstrovskij, G. D.; Ol’khovskij, Yu. G. 5 1980 Convergence to equilibrium in a polylocus polyallele population with additive selection. Zbl 0495.92008Kun, L. A.; Lyubich, Yu. I. 5 1980 The kinematic method in geometrical problems. Transl. from the Russian by V. Shokurov. Zbl 0479.51018Lyubich, Yu. I.; Shor, L. A. 1 1980 Convergence to equilibrium under the action of additive selection in a multilocus multiallelic population. Zbl 0432.92018Kun, L. A.; Lyubich, Yu. I. 3 1979 A topological approach to a problem in mathematical genetics. Zbl 0446.92012Lyubich, Yu. I. 2 1979 Topological treatment of a problem in mathematical genetics. Zbl 0424.92014Lyubich, Yu. I. 1 1979 Algebraic methods in evolutionary genetics. Zbl 0401.92010Lyubich, Yu. I. 5 1978 Proper Bernstein populations. Zbl 0398.92025Lyubich, Yu. I. 4 1977 Two-level Bernsteinian populations. Zbl 0334.92019Lyubich, Yu. I. 5 1976 Quasilinear Bernstein populations. Zbl 0431.92023Lyubich, Yu. I. 2 1976 Convergence to equilibrium under the action of selection in a single locus population. Zbl 0349.92016Lyubich, Yu. I.; Majstrovskij, G. D.; Ol’khovskij, Yu. G. 1 1976 Konstruktion Bernsteinscher Populationen vom Typ \((2,n-2)\). Zbl 0317.92018Lyubich, Yu. I. 1 1975 Finite-dimensional linear analysis: A systematic presentation in problem form. Translated and edited by G. P. Barker and G. Kuerti. Zbl 0332.15001Glazman, I. M.; Lyubich, Yu. I. 26 1974 Duality of spectral subspaces and conditions for the separation of the spectrum of a bounded linear operator. Zbl 0366.47001Lomonosov, V. I.; Lyubich, Yu. I.; Matsaev, V. I. 3 1974 Two-level Bernstein populations. Zbl 0317.92017Lyubich, Yu. I. 1 1974 On representations with a separable spectrum. Zbl 0285.22004Lyubich, Yu. I.; Machaev, V. I.; Fel’dman, G. M. 8 1973 An infinite-dimensional theorem analogous to Lie’s weight theorem. Zbl 0278.22005Gurarij, D. L.; Lyubich, Yu. I. 1 1973 On the mathematical theory of heredity. Zbl 0291.92022Lyubich, Yu. I. 1 1973 Konstruktion Bernsteinscher Populationen vom Typ (n-1,1). Zbl 0296.92005Lyubich, Yu. I. 1 1973 Analyse lineaire dans les espaces de dimensions finies. Manuel en problemes. Übersetzung aus dem Russischen von Henri Damadian. Zbl 0243.15002Glazman, I.; Liubitch, Y. 7 1972 On the spectrum of a representation of an abelian topological group. Zbl 0235.22008Lyubich, Yu. I. 5 1971 On the separability of the spectrum of a representation of a locally compact abelian group. Zbl 0251.22002Lyubich, Yu. I.; Matsaev, V. I.; Fel’dman, G. M. 1 1971 On the boundary spectrum of contractions in Minkowski spaces. Zbl 0209.44801Lyubich, Yu. I. 4 1970 The general theory of relaxation processes for convex functionals. Zbl 0207.45001Lyubich, Yu. I.; Maĭstrovskiĭ, G. D. 3 1970 Quasi-analyticity criterion for abstract operators. Zbl 0202.13503Lyubich, Yu. I.; Tkachenko, V. A. 1 1970 A general theory of relaxation processes for convex functionals. (Eine allgemeine Theorie der Relaxationsprozesse für konvexe Funktionale.) Zbl 0202.42202Lyubich, Yu. I.; Maĭstrovskiĭ, G. D. 1 1970 On the stability of relaxation processes. Zbl 0215.20802Lyubich, Yu. I.; Maĭstrovskiĭ, G. D. 1 1970 Endlichdimensionale lineare Analysis in Aufgaben. (Конечномернуй линейный анализ в задачах.) Zbl 0188.07401Glazman, I. M.; Lyubich, Yu. I. 33 1969 Subharmonic functions on a directed graph. Zbl 0194.13702Lyubich, Yu. I.; Tabachnikov, M. I. 5 1969 Zur Theorie von Floquet für Gleichungen mit retardiertem Argument. Zbl 0169.11702Lyubich, Yu. I.; Tkachenko, V. A. 3 1969 Über einen Satz von Marik und Ptak. Zbl 0186.33801Lyubich, Yu. I.; Tabachnikov, M. I. 1 1969 Izrail’ Markovich Glazman (obituary) [December 21, 1916 – May 30, 1968]. Zbl 0181.00301Akhiezer, N. I.; Zhmud’, È. M.; Lyubich, Yu. I.; Marchenko, V. A. 1 1969 Convergence of the process of steepest descent. Zbl 0191.15904Lyubich, Yu. I. 1 1968 Rates of convergence of coordinate relaxation for a quadratic functional. Zbl 0183.17702Lyubich, Yu. I. 1 1967 The classical and local Laplace transformation in an abstract Cauchy problem. Zbl 0173.12002Lyubich, Yu. I. 6 1966 Conditionality in general computational problems. Zbl 0198.47902Lyubich, Yu. I. 3 1966 Theory and certain applications of the local Laplace transform. (Theorie und einige Anwendungen der lokalen Laplace-Transformation.) Zbl 0165.14001Lyubich, Yu. I.; Tkachenko, V. A. 2 1966 Investigation of the deficiency of the abstract Cauchy problem. Zbl 0186.47201Lyubich, Yu. I. 1 1966 Die Struktur einer Halbgruppe von Operatoren mit vorgeschriebener Norm. Zbl 0246.47048Lyubich, Yu. I. 1 1966 On operators with a separable spectrum. Zbl 0158.14602Lyubich, Yu. I.; Matsaev, V. I. 12 1965 Abschätzungen des Gewichtes eines regulären Ereignisses über einem einbuchstabigen Alphabet. Zbl 0158.01004Lyubich, Yu. I.; Livshits, E. M. 1 1965 General theorems of quadratic relaxation. Zbl 0179.20802Lyubich, Yu. I. 1 1965 Estimates for the optimal determination of indeterminate autonomous automata. (Abschätzungen für die optimale Determinierung nichtdeterministischer autonomer Automaten.) Zbl 0192.08104Lyubich, Yu. I. 7 1964 On inequalities between the powers of a linear operator. Zbl 0158.14403Lyubich, Yu. I. 6 1964 Estimates of the number of states that arise in the determinization of a nondeterministic autonomous automaton. Zbl 0131.01003Lyubich, J. I. 3 1964 Bemerkung über ein Problem von C. Berge. Zbl 0138.19401Lyubich, Yu. I. 1 1964 Conditions of the denseness of the initial value manifold of an abstract Cauchy problem. Zbl 0151.20301Lyubich, Yu. I. 1 1964 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 616 Authors 23 Lyubich, Yuriĭ Il’ich 14 Rozikov, Utkir A. 14 Xu, Gen-Qi 12 Jamilov, Uygun U. 9 Baskakov, Anatoliĭ Grigor’evich 9 Mukhamedov, Farruh Maksutovich 8 Han, Zhongjie 8 Ladra González, Manuel 8 Paunonen, Lassi 7 Batty, Charles J. K. 7 González, Santos 7 Martínez López, Consuelo 7 Sklyar, Grigory Mikhailovitch 6 Baake, Ellen 6 Benaissa, Abbes 6 Bikchentaev, Aĭrat Midkhatovich 6 Bürger, Reinhard 6 Reich, Simeon 6 Vũ Quôc Phóng 5 Barker, George Phillip 5 Danchenko, Vladimir Il’ich 5 Nikol’skiĭ, Nikolaĭ Kapitonovich 5 Räbiger, Frank 5 Seifert, David 4 Baake, Michael 4 Belitskii, Genrich R. 4 Ganikhodzhaev, Rasul N. 4 Kirzhner, Valery M. 4 Le Merdy, Christian 4 Lin, Michael 4 Lyubich, Mikhail 4 Nagylaki, Thomas 4 Omirov, Bakhrom A. 4 Perov, Anatolij Ivanovich 4 Polak, Piotr 4 Rodman, Leiba X. 4 Sawa, Masanori 4 Shahidi, Farruh 4 Vu Kuok Fong 3 Akin, Hasan 3 Avalos, George 3 Bannai, Eiichi 3 Bannai, Etsuko 3 Bonet Solves, José 3 Boughamda, Walid 3 Cohen, Guy 3 Gutiérrez Fernández, Juan Carlos 3 Gutierrez, Juan Carlos Ticona 3 Guzzo, Henrique jun. 3 Jirásková, Galina 3 Kostrub, Irina Dmitrievna 3 Kushel, Olga Yur’evna 3 Lou, Yuan 3 Luna-Elizarrarás, María Elena 3 Matignon, Denis 3 Mengestie, Tesfa Y. 3 Nguyen Van Minh 3 Paniello, Irene 3 Psarrakos, Panayiotis J. 3 Saburov, Mansoor 3 Shoikhet, David 3 Strukova, Irina Igor’evna 3 Tabachnikov, M. I. 3 Vitse, Pascale 3 Zada, Akbar 3 Zaslavski, Alexander Yakovlevich 2 Antonevich, Anatolij Borisovich 2 Aouadi, Moncef 2 Arendt, Wolfgang 2 Arhancet, Cédric 2 Azé, Dominique 2 Badea, Catalin 2 Bartoszek, Wojciech 2 Basit, Bolis 2 Bomze, Immanuel M. 2 Bondar, Anatoliĭ Vasyl’ovych 2 Boĭvalenkov, Pet”r Georgiev 2 Chasnov, Jeffrey R. 2 Chunaev, Petr 2 Costa, Roberto Celso Fabricio 2 Cuny, Christophe 2 Deutsch, Emeric 2 Dikarev, Egor Evgen’evich 2 Domański, Paweł 2 Dungey, Nicholas 2 Egorshin, Alekseĭ Olegovich 2 Ganikhodjaev, Nasir Nabievich 2 Gaouar, Soumia 2 Geredeli, Pelin Guven 2 Ginzburg, Yu. P. 2 Glück, Jochen 2 Gorin, Evgeniĭ Alekseevich 2 Grinberg, Victor S. 2 Guo, Yanni 2 Gupur, Geni 2 Hentzel, Irvin Roy 2 Ismagilov, Rais Sal’manovich 2 Kadets, Mikhail I. 2 Kesri, M’hamed 2 Kouznetsov, Dmitrii ...and 516 more Authors all top 5 Cited in 168 Serials 40 Linear Algebra and its Applications 26 Journal of Mathematical Analysis and Applications 25 Journal of Soviet Mathematics 24 Mathematical Notes 17 Journal of Functional Analysis 15 Siberian Mathematical Journal 15 Journal of Mathematical Sciences (New York) 13 Ukrainian Mathematical Journal 11 Communications in Algebra 11 Theoretical Population Biology 10 Journal of Mathematical Biology 10 Journal of Differential Equations 9 Functional Analysis and its Applications 9 Journal of Algebra 8 Proceedings of the American Mathematical Society 7 Transactions of the American Mathematical Society 7 St. Petersburg Mathematical Journal 6 Advances in Mathematics 6 Integral Equations and Operator Theory 6 Results in Mathematics 6 Lobachevskii Journal of Mathematics 5 Israel Journal of Mathematics 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Archiv der Mathematik 5 Monatshefte für Mathematik 5 Russian Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Journal of Evolution Equations 4 Applicable Analysis 4 Discrete Mathematics 4 Journal d’Analyse Mathématique 4 Linear and Multilinear Algebra 4 Mathematics of Computation 4 Mathematische Zeitschrift 4 Semigroup Forum 4 SIAM Journal on Control and Optimization 4 Systems & Control Letters 4 Qualitative Theory of Dynamical Systems 4 Complex Analysis and Operator Theory 4 Journal of Applied Nonlinear Dynamics 3 Annales de l’Institut Fourier 3 Applied Mathematics and Optimization 3 Journal of Approximation Theory 3 European Journal of Combinatorics 3 Acta Applicandae Mathematicae 3 Graphs and Combinatorics 3 Journal of Difference Equations and Applications 3 Discrete and Continuous Dynamical Systems 3 Positivity 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Proceedings of the Steklov Institute of Mathematics 3 Mathematical Control and Related Fields 2 Russian Mathematical Surveys 2 Journal of Combinatorial Theory. Series A 2 Journal of Computational and Applied Mathematics 2 Journal of Optimization Theory and Applications 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Theoretical Computer Science 2 Advances in Applied Mathematics 2 Information and Computation 2 Applied Mathematics Letters 2 Designs, Codes and Cryptography 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Computational Optimization and Applications 2 Sbornik: Mathematics 2 Doklady Mathematics 2 Vietnam Journal of Mathematics 2 Abstract and Applied Analysis 2 Acta Mathematica Sinica. English Series 2 Trudy Instituta Matematiki 2 Journal of the Australian Mathematical Society 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Networks and Heterogeneous Media 2 Discrete and Continuous Dynamical Systems. Series S 2 Annals of Functional Analysis 2 Eurasian Mathematical Journal 2 Analysis and Mathematical Physics 2 Evolution Equations and Control Theory 1 American Mathematical Monthly 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Applied Mathematics and Mechanics 1 Journal of the Franklin Institute 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 The Mathematical Intelligencer 1 Automatica 1 Functiones et Approximatio. Commentarii Mathematici 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Statistical Planning and Inference 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematical Programming 1 Mathematica Slovaca 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods ...and 68 more Serials all top 5 Cited in 56 Fields 225 Operator theory (47-XX) 81 Functional analysis (46-XX) 69 Linear and multilinear algebra; matrix theory (15-XX) 65 Biology and other natural sciences (92-XX) 53 Ordinary differential equations (34-XX) 51 Partial differential equations (35-XX) 48 Nonassociative rings and algebras (17-XX) 46 Dynamical systems and ergodic theory (37-XX) 42 Systems theory; control (93-XX) 38 Probability theory and stochastic processes (60-XX) 31 Combinatorics (05-XX) 28 Numerical analysis (65-XX) 19 Functions of a complex variable (30-XX) 19 Mechanics of deformable solids (74-XX) 18 Abstract harmonic analysis (43-XX) 16 Approximations and expansions (41-XX) 16 Operations research, mathematical programming (90-XX) 15 Convex and discrete geometry (52-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 10 Topological groups, Lie groups (22-XX) 10 Difference and functional equations (39-XX) 10 Computer science (68-XX) 9 Real functions (26-XX) 8 Number theory (11-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Integral transforms, operational calculus (44-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Statistics (62-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Group theory and generalizations (20-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Geometry (51-XX) 5 Fluid mechanics (76-XX) 5 Information and communication theory, circuits (94-XX) 4 Sequences, series, summability (40-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Associative rings and algebras (16-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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