Edit Profile (opens in new tab) Petunin, Yuriĭ Ivanovich (b. 1937 d. 2011) Co-Author Distance Author ID: petunin.yuri-i Published as: Petunin, Yu. I.; Petunin, Ju. I.; Petunin, J. I.; Petunin, Yuriy I.; Petunin, Yurij I.; Petunin, Yuri I. more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp Documents Indexed: 150 Publications since 1961, including 7 Books 2 Further Contributions Co-Authors: 77 Co-Authors with 137 Joint Publications 1,212 Co-Co-Authors all top 5 Co-Authors 12 single-authored 12 Kuk, Yu. V. 12 Vysochanskij, D. F. 11 Kreĭn, Selim Grigor’evich 10 Rublëv, Bogdan Vladislavovich 8 Min’ko, A. A. 8 Plichko, Anatoliĭ Mykolaĭovych 8 Semënov, Evgeniĭ Mikhaĭlovich 7 Semejko, N. G. 5 Matvejchuk, S. A. 5 Savkin, V. I. 4 Afanas’eva, Larisa Grigor’evna 4 Bajdak, G. I. 4 Bajramov, I. G. 4 Litvinko, P. G. 4 Madreimov, I. 4 Shneiberg, Iosiph 4 Shul’deshov, G. A. 3 Andrushkiw, Roman I. 3 Braverman, Michael Sh. 3 Faddeev, Lyudvig Dmitrievich 3 Gorin, Evgeniĭ Alekseevich 3 Kostyuchenko, Anatolii Gordeevich 3 Krasnosel’skiĭ, Mark Aleksandrovich 3 Kuricyn, Ju. G. 3 Kuritsyn, Yu. G. 3 Mityagin, Boris Samuilovich 3 Pogrebnoj, V. D. 3 Rutitskij, Ya. B. 3 Sobolev, Vladimir Ivanovich 3 Tsitlanadze, Elizbar S. 3 Tupko, N. P. 3 Vilenkin, Naum Yakovlevich 3 Vinokurov, V. A. 2 Buldygin, Valeriĭ Volodymyrovych 2 Chekhun, V. F. 2 Krokhin, V. V. 2 Maslov, Viktor Pavlovich 2 Naleskina, L. A. 2 Pasike, E. Eh. 2 Ryabichev, Vyacheslav L. 2 Savkina, M. Yu. 2 Semejko, M. G. 2 Stet’senko, V. Ya. 2 Stognij, B. S. 2 Yakut, L. I. 1 Anisimov, Vladimir Vladislavovič 1 Bayramoğlu, Ismihan G. 1 Beloshitskij, P. V. 1 Birman, Mikhail Shlëmovich 1 Boĭko, R. V. 1 Boroday, N. V. 1 Borodyanskij, N. I. 1 Boron, Leo F. 1 Bu The Hyu 1 Butsan, G. P. 1 Chorayan, O. G. 1 Djomina, E. A. 1 Dorogovtsev, Anatoliĭ Yakovych 1 Gadzhev, V. G. 1 Ganina, K. P. 1 Golubeva, E. N. 1 Golubeva, K. M. 1 Gusak, Dmytro V. 1 Hacet, S. V. 1 Ibramkhalilov, I. Sh. 1 Iokhvidov, I. S. 1 Ivanov, Aleksandr Vladimirovich 1 Kadets, Mikhail I. 1 Karpenko, L. D. 1 Kljushin, Dmitry A. 1 Klyushin, Dmitry A. 1 Klyushin, Dmitry D. 1 Klyushin, Dmytro A. 1 Knopov, Pavel S. 1 Kononchuk, L. P. 1 Korovin, S. I. 1 Kulik, G. I. 1 Kunskaya, L. N. 1 Levin, Anatoly Yu. 1 Lyashko, Ivan Ivanovich 1 Lyashko, Sergeĭ Ivanovich 1 Mamunya, L. A. T. 1 Matveĭchuk, S. A. 1 Nomirovskij, D. A. 1 Orel, V. E. 1 Petunina, M. Yu. 1 Pisanets, S. I. 1 Plicenko, A. N. 1 Portenko, Mykola Ivanovych 1 Samoĭlenko, T. I. 1 Semeiko, M. G. 1 Semenov, Volodymyr V. 1 Shtatland, E. S. 1 Skorokhod, Anatoliĭ Volodymyrovych 1 Slobodenyuk, N. P. 1 Stechenko, V. Ya. 1 Tarnopol’skaya, S. D. 1 Timoshenko, Ya. G. 1 Todor, I. N. 1 Votruba, G. F. ...and 4 more Co-Authors all top 5 Serials 17 Ukrainian Mathematical Journal 14 Ukraïns’kyĭ Matematychnyĭ Zhurnal 14 Theory of Probability and Mathematical Statistics 10 Soviet Mathematics. Doklady 9 Cybernetics and Systems Analysis 8 Vychislitel’naya i Prikladnaya Matematika 6 Cybernetics 5 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 5 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 3 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 3 Teoriya Veroyatnosteĭ i Matematicheskaya Statistika 3 Obchyslyuval’na ta Prykladna Matematyka 2 Mathematical Notes 2 Matematicheskie Zametki 2 Theory of Probability and its Applications 2 Functional Analysis and its Applications 2 Journal of Soviet Mathematics 2 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 2 İstatistik 1 Russian Mathematical Surveys 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Kibernetika 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Transactions of the Moscow Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 1 Serdica 1 Russian Academy of Sciences. Doklady. Mathematics 1 Kraĭovi Zadachi dlya Dyferentsial’nykh Rivnyan’ 1 Theory of Stochastic Processes 1 Translations of Mathematical Monographs 1 Nonlinear Analysis. Theory, Methods & Applications 1 Springer Optimization and Its Applications all top 5 Fields 57 Statistics (62-XX) 42 Probability theory and stochastic processes (60-XX) 33 Functional analysis (46-XX) 12 Computer science (68-XX) 11 Operator theory (47-XX) 9 Numerical analysis (65-XX) 8 Biology and other natural sciences (92-XX) 6 Convex and discrete geometry (52-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Measure and integration (28-XX) 3 Systems theory; control (93-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 53 Publications have been cited 966 times in 921 Documents Cited by ▼ Year ▼ Interpolation of linear operators. Transl. from the Russian by J. Szuecs, ed. by Lev J. Leifman. Zbl 0493.46058 Krejn, S. G.; Petunin, Yu. I.; Semenov, E. M. 402 1982 Interpolation of linear operators. (Interpolyatsiya linejnykh operatorov). Zbl 0499.46044 Krejn, S. G.; Petunin, Yu. I.; Semenov, E. M. 173 1978 Scales of Banach spaces. Zbl 0173.15702 Kreĭn, S. G.; Petunin, Yu. I. 87 1966 Scales of Banach structures of measurable functions. Zbl 0193.09302 Krein, S. G.; Petunin, J. I.; Semenov, E. M. 60 1967 Einbettungssätze und die Interpolation linearer Operatoren. Zbl 0251.46038 Krein, S. G.; Petunin, Ju. I.; Semenov, E. M. 44 1970 Functional analysis. Translated from the Russian by Richard E. Flaherty. English edition edited by George F. Votruba with the collaboration of Leo F. Boron. Zbl 0236.47001 Vilenkin, N. Ya.; Gorin, E. A.; Kostyuchenko, A. G.; Krasnosel’skiĭ, M. A.; Kreĭn, S. G.; Maslov, V. P.; Mityagin, B. S.; Petunin, Yu. I.; Rutitskiĭ, Ya. B.; Sobolev, V. I.; Stetsenko, V. Ya.; Faddeev, L. D.; Tsitlanadze, E. S. 35 1972 Functional analysis. Edited by S. G. Kreĭn. (Функционаляный анализ.) Zbl 0128.10302 Vilenkin, N. Ya.; Gorin, E. A.; Kostyuchenko, A. G.; Krasnosel’skiĭ, M. A.; Kreĭn, S. G.; Maslov, V. P.; Mityagin, B. S.; Petunin, Yu. I.; Rutitskiĭ, Ya. B.; Sobolev, V. I.; Stetsenko, V. Ya.; Faddeev, L. D.; Tsitlanadze, È. S. 30 1964 The theory of the characteristics of subspaces and its applications. (Teoriya kharakteristik podprostranstv i ee prilozheniya.) Zbl 0467.46016 Petunin, Yu. I.; Plichko, A. N. 22 1980 Justification of the \(3\sigma\) rule for unimodal distributions. Zbl 0486.60018 Vysochanskij, D. F.; Petunin, Yu. I. 15 1980 Generalized solutions of operator equations and extreme elements. Zbl 1240.47002 Klyushin, D. A.; Lyashko, S. I.; Nomirovskii, D. A.; Petunin, Yu. I.; Semenov, V. V. 10 2011 Structure of invariant confidence intervals containing the main distributed mass. Zbl 0713.62051 Bajramov, I. G.; Petunin, Yu. I. 9 1990 Some properties of the set of functionals which attain their supremum on the unit sphere. Zbl 0304.46005 Petunin, Ju. I.; Plicko, A. N. 8 1974 Application of the theory of stochastic processes in biology and medicine. (Prilozhenie teorii sluchajnykh protsessov v biologii i meditsine). Zbl 0521.92001 Petunin, Yu. I. 5 1981 Conjugate Banach spaces containing subspaces of zero characteristic. Zbl 0121.09401 Petunin, J. I. 5 1964 On a Gauss inequality for unimodal distributions. Zbl 0505.60025 Vysochanskij, D. F.; Petunin, Yu. I. 4 1982 A generalization of the Bernoulli model occurring in order statistics. I. Zbl 0725.62048 Matvejchuk, S. A.; Petunin, Yu. I. 4 1990 Minimum-area ellipse containing a finite set of points. I. Zbl 0938.52001 Rublev, B. V.; Petunin, Yu. I. 3 1998 Mixed empirical stochastic point processes in compact metric spaces. II. Zbl 1164.60350 Petunin, Yu. I.; Semeiko, M. G. 3 2006 Einige Eigenschaften der Menge der Funktionale, die das Supremum auf der Einheitssphäre erreichen. Zbl 0297.46012 Petunin, Ju. I.; Plicko, A. N. 3 1974 A generalization of Bernoulli’s model occurring in order statistics. II. Zbl 0758.62026 Matvejchuk, S. A.; Petunin, Yu. I. 2 1991 Statistical tests based on training samples. Zbl 0748.62025 Bajramov, I. G.; Petunin, Yu. I. 2 1991 Minimum-area ellipse containing a finite set of points. II. Zbl 0938.52002 Rublev, B. V.; Petunin, Yu. I. 2 1998 A characterization of the uniform distribution by the aid of order statistics. Zbl 0494.62017 Madreimov, I.; Petunin, Yu. I. 2 1982 A remark on the paper ”Justification of the \(3\sigma\)-rule for unimodal distributions”. Zbl 0521.60020 Vysochanskij, D. F.; Petunin, Yu. I. 2 1983 Measurability and regularizability of mappings inverse to continuous linear operators. Zbl 0447.46001 Vinokurov, V. A.; Petunin, Yu. I.; Plichko, A. N. 2 1980 A criterion for relationship of two Banach spaces. Zbl 0117.32701 Kreĭn, S. G.; Petunin, Yu. I. 2 1961 A criterion for the reflexivity of a Banach space. Zbl 0098.30403 Petunin, Yu. I. 2 1961 Funktionalanalysis. (Funkcional’nyi analiz.) Gesamtredaktion S. G. Krejn. 2. überarb. und erg. Aufl. Zbl 0261.47001 2 1972 The concept of a minimal scale of spaces. Zbl 0139.30103 Krejn, S. G.; Petunin, Yu. I. 2 1964 Skalen von Banachverbänden meßbarer Funktionen. Zbl 0182.16702 Krein, S. G.; Petunin, J. I.; Semenov, E. M. 2 1967 Prenuclear transformations in scales of Banach and Hilbert spaces. Zbl 0164.43902 Petunin, J. I. 2 1967 Continuity of maps inverse to quadratic operator polynomials. Zbl 0813.47080 Petunin, Yu. I.; Savkin, V. I. 1 1989 Continuous bijective mappings in topological and Banach manifolds. Zbl 0779.46009 Pasike, E. Eh.; Petunin, Yu. I.; Savkin, V. I. 1 1985 Pattern recognition with the help of quadratic discriminant functions. Zbl 0932.93022 Petunin, Yu. I.; Rublev, B. V. 1 1996 Structure of homothetic linearly separable sets in \(n\)-dimensional Euclidean space. I. Zbl 0875.52002 Rublev, B. V.; Petunin, Yu. I.; Litvinko, P. G. 1 1992 Testing hypotheses by using optimal statistical criteria. II. Zbl 0847.62011 Kuk, Yu. V.; Petunin, Yu. I. 1 1994 On a method of calculation of absolute value of the determinant. Zbl 0979.65037 Petunin, Yu. I.; Ryabichev, V. L. 1 1999 A nonparametric population equivalence test based on a measure of proximity between samples. Zbl 1039.62036 Klyushin, D. A.; Petunin, Yu. I. 1 2003 The stochastic process of segments on the two-dimensional Euclidean sphere. I. Zbl 0665.60019 Petunin, Yu. I.; Semejko, N. G. 1 1988 Unimodality of a noncentral \(\chi ^ 2\)-distribution. Zbl 0658.62011 Min’ko, A. A.; Petunin, Yu. I. 1 1988 Convergence generated by analytic functionals and isomorphism of algebras of analytic functions. Zbl 0679.46031 Petunin, Yu. I.; Savkin, V. I. 1 1988 Mixed empirical random point processes in compact metric spaces. I. Zbl 1150.60381 Petunin, Yu. I.; Semejko, M. G. 1 2006 Test for the identification of a population in case of a finite class of alternative hypotheses. Zbl 0573.62040 Petunin, Yu. I.; Timoshenko, Ya. G.; Petunina, M. Yu. 1 1984 Improvement of the unilateral 3 \(\sigma\)-rule for unimodal distributions. Zbl 0564.60022 Vysochanskij, D. F.; Petunin, Yu. I. 1 1985 Convergence of the method of least squares in a uniform metric. Zbl 0704.65007 Min’ko, A. A.; Petunin, Yu. I. 1 1990 Convergence of the least squares method in the uniform metric. Zbl 0723.65008 Min’ko, A. A.; Petunin, Yu. I. 1 1990 A structural approach to solving the 6th Hilbert problem. Zbl 1097.60001 Petunin, Yu. I.; Klyushin, D. A. 1 2004 Stratification analysis of morphometric indices of populations of cancer cells with the phenotype of drug resistance. Zbl 1102.62121 Petunin, Yu. I.; Klyushin, D. A.; Kulik, G. I.; Yurchenko, O. V.; Todor, I. N.; Chekhun, V. F. 1 2005 Optimum statistical criteria. Zbl 0351.62013 Kuk, Ju. V.; Petunin, Ju. I. 1 1976 Interpolation between factor spaces. Zbl 0241.46034 Petunin, Ju. I. 1 1972 Measurability conditions and regularizability of mappings inverse to continuous linear mappings. Zbl 0325.46024 Vinokurov, V. A.; Petunin, Ju. I.; Plicko, A. N. 1 1975 Observable linear estimates of the mathematical expectation of a random process. Zbl 0286.62067 Kuk, Ju. V.; Petunin, Ju. I. 1 1973 Some problems connected with the definition of orthogonality in a Banach space. Zbl 0171.33302 Levin, A. Yu.; Petunin, Yu. I. 1 1963 Generalized solutions of operator equations and extreme elements. Zbl 1240.47002 Klyushin, D. A.; Lyashko, S. I.; Nomirovskii, D. A.; Petunin, Yu. I.; Semenov, V. V. 10 2011 Mixed empirical stochastic point processes in compact metric spaces. II. Zbl 1164.60350 Petunin, Yu. I.; Semeiko, M. G. 3 2006 Mixed empirical random point processes in compact metric spaces. I. Zbl 1150.60381 Petunin, Yu. I.; Semejko, M. G. 1 2006 Stratification analysis of morphometric indices of populations of cancer cells with the phenotype of drug resistance. Zbl 1102.62121 Petunin, Yu. I.; Klyushin, D. A.; Kulik, G. I.; Yurchenko, O. V.; Todor, I. N.; Chekhun, V. F. 1 2005 A structural approach to solving the 6th Hilbert problem. Zbl 1097.60001 Petunin, Yu. I.; Klyushin, D. A. 1 2004 A nonparametric population equivalence test based on a measure of proximity between samples. Zbl 1039.62036 Klyushin, D. A.; Petunin, Yu. I. 1 2003 On a method of calculation of absolute value of the determinant. Zbl 0979.65037 Petunin, Yu. I.; Ryabichev, V. L. 1 1999 Minimum-area ellipse containing a finite set of points. I. Zbl 0938.52001 Rublev, B. V.; Petunin, Yu. I. 3 1998 Minimum-area ellipse containing a finite set of points. II. Zbl 0938.52002 Rublev, B. V.; Petunin, Yu. I. 2 1998 Pattern recognition with the help of quadratic discriminant functions. Zbl 0932.93022 Petunin, Yu. I.; Rublev, B. V. 1 1996 Testing hypotheses by using optimal statistical criteria. II. Zbl 0847.62011 Kuk, Yu. V.; Petunin, Yu. I. 1 1994 Structure of homothetic linearly separable sets in \(n\)-dimensional Euclidean space. I. Zbl 0875.52002 Rublev, B. V.; Petunin, Yu. I.; Litvinko, P. G. 1 1992 A generalization of Bernoulli’s model occurring in order statistics. II. Zbl 0758.62026 Matvejchuk, S. A.; Petunin, Yu. I. 2 1991 Statistical tests based on training samples. Zbl 0748.62025 Bajramov, I. G.; Petunin, Yu. I. 2 1991 Structure of invariant confidence intervals containing the main distributed mass. Zbl 0713.62051 Bajramov, I. G.; Petunin, Yu. I. 9 1990 A generalization of the Bernoulli model occurring in order statistics. I. Zbl 0725.62048 Matvejchuk, S. A.; Petunin, Yu. I. 4 1990 Convergence of the method of least squares in a uniform metric. Zbl 0704.65007 Min’ko, A. A.; Petunin, Yu. I. 1 1990 Convergence of the least squares method in the uniform metric. Zbl 0723.65008 Min’ko, A. A.; Petunin, Yu. I. 1 1990 Continuity of maps inverse to quadratic operator polynomials. Zbl 0813.47080 Petunin, Yu. I.; Savkin, V. I. 1 1989 The stochastic process of segments on the two-dimensional Euclidean sphere. I. Zbl 0665.60019 Petunin, Yu. I.; Semejko, N. G. 1 1988 Unimodality of a noncentral \(\chi ^ 2\)-distribution. Zbl 0658.62011 Min’ko, A. A.; Petunin, Yu. I. 1 1988 Convergence generated by analytic functionals and isomorphism of algebras of analytic functions. Zbl 0679.46031 Petunin, Yu. I.; Savkin, V. I. 1 1988 Continuous bijective mappings in topological and Banach manifolds. Zbl 0779.46009 Pasike, E. Eh.; Petunin, Yu. I.; Savkin, V. I. 1 1985 Improvement of the unilateral 3 \(\sigma\)-rule for unimodal distributions. Zbl 0564.60022 Vysochanskij, D. F.; Petunin, Yu. I. 1 1985 Test for the identification of a population in case of a finite class of alternative hypotheses. Zbl 0573.62040 Petunin, Yu. I.; Timoshenko, Ya. G.; Petunina, M. Yu. 1 1984 A remark on the paper ”Justification of the \(3\sigma\)-rule for unimodal distributions”. Zbl 0521.60020 Vysochanskij, D. F.; Petunin, Yu. I. 2 1983 Interpolation of linear operators. Transl. from the Russian by J. Szuecs, ed. by Lev J. Leifman. Zbl 0493.46058 Krejn, S. G.; Petunin, Yu. I.; Semenov, E. M. 402 1982 On a Gauss inequality for unimodal distributions. Zbl 0505.60025 Vysochanskij, D. F.; Petunin, Yu. I. 4 1982 A characterization of the uniform distribution by the aid of order statistics. Zbl 0494.62017 Madreimov, I.; Petunin, Yu. I. 2 1982 Application of the theory of stochastic processes in biology and medicine. (Prilozhenie teorii sluchajnykh protsessov v biologii i meditsine). Zbl 0521.92001 Petunin, Yu. I. 5 1981 The theory of the characteristics of subspaces and its applications. (Teoriya kharakteristik podprostranstv i ee prilozheniya.) Zbl 0467.46016 Petunin, Yu. I.; Plichko, A. N. 22 1980 Justification of the \(3\sigma\) rule for unimodal distributions. Zbl 0486.60018 Vysochanskij, D. F.; Petunin, Yu. I. 15 1980 Measurability and regularizability of mappings inverse to continuous linear operators. Zbl 0447.46001 Vinokurov, V. A.; Petunin, Yu. I.; Plichko, A. N. 2 1980 Interpolation of linear operators. (Interpolyatsiya linejnykh operatorov). Zbl 0499.46044 Krejn, S. G.; Petunin, Yu. I.; Semenov, E. M. 173 1978 Optimum statistical criteria. Zbl 0351.62013 Kuk, Ju. V.; Petunin, Ju. I. 1 1976 Measurability conditions and regularizability of mappings inverse to continuous linear mappings. Zbl 0325.46024 Vinokurov, V. A.; Petunin, Ju. I.; Plicko, A. N. 1 1975 Some properties of the set of functionals which attain their supremum on the unit sphere. Zbl 0304.46005 Petunin, Ju. I.; Plicko, A. N. 8 1974 Einige Eigenschaften der Menge der Funktionale, die das Supremum auf der Einheitssphäre erreichen. Zbl 0297.46012 Petunin, Ju. I.; Plicko, A. N. 3 1974 Observable linear estimates of the mathematical expectation of a random process. Zbl 0286.62067 Kuk, Ju. V.; Petunin, Ju. I. 1 1973 Functional analysis. Translated from the Russian by Richard E. Flaherty. English edition edited by George F. Votruba with the collaboration of Leo F. Boron. Zbl 0236.47001 Vilenkin, N. Ya.; Gorin, E. A.; Kostyuchenko, A. G.; Krasnosel’skiĭ, M. A.; Kreĭn, S. G.; Maslov, V. P.; Mityagin, B. S.; Petunin, Yu. I.; Rutitskiĭ, Ya. B.; Sobolev, V. I.; Stetsenko, V. Ya.; Faddeev, L. D.; Tsitlanadze, E. S. 35 1972 Funktionalanalysis. (Funkcional’nyi analiz.) Gesamtredaktion S. G. Krejn. 2. überarb. und erg. Aufl. Zbl 0261.47001 2 1972 Interpolation between factor spaces. Zbl 0241.46034 Petunin, Ju. I. 1 1972 Einbettungssätze und die Interpolation linearer Operatoren. Zbl 0251.46038 Krein, S. G.; Petunin, Ju. I.; Semenov, E. M. 44 1970 Scales of Banach structures of measurable functions. Zbl 0193.09302 Krein, S. G.; Petunin, J. I.; Semenov, E. M. 60 1967 Skalen von Banachverbänden meßbarer Funktionen. Zbl 0182.16702 Krein, S. G.; Petunin, J. I.; Semenov, E. M. 2 1967 Prenuclear transformations in scales of Banach and Hilbert spaces. Zbl 0164.43902 Petunin, J. I. 2 1967 Scales of Banach spaces. Zbl 0173.15702 Kreĭn, S. G.; Petunin, Yu. I. 87 1966 Functional analysis. Edited by S. G. Kreĭn. (Функционаляный анализ.) Zbl 0128.10302 Vilenkin, N. Ya.; Gorin, E. A.; Kostyuchenko, A. G.; Krasnosel’skiĭ, M. A.; Kreĭn, S. G.; Maslov, V. P.; Mityagin, B. S.; Petunin, Yu. I.; Rutitskiĭ, Ya. B.; Sobolev, V. I.; Stetsenko, V. Ya.; Faddeev, L. D.; Tsitlanadze, È. S. 30 1964 Conjugate Banach spaces containing subspaces of zero characteristic. Zbl 0121.09401 Petunin, J. I. 5 1964 The concept of a minimal scale of spaces. Zbl 0139.30103 Krejn, S. G.; Petunin, Yu. I. 2 1964 Some problems connected with the definition of orthogonality in a Banach space. Zbl 0171.33302 Levin, A. Yu.; Petunin, Yu. I. 1 1963 A criterion for relationship of two Banach spaces. Zbl 0117.32701 Kreĭn, S. G.; Petunin, Yu. I. 2 1961 A criterion for the reflexivity of a Banach space. Zbl 0098.30403 Petunin, Yu. I. 2 1961 all cited Publications top 5 cited Publications all top 5 Cited by 831 Authors 93 Sukochev, Fedor Anatol’evich 72 Astashkin, Sergeĭ Vladimir 33 Zanin, Dmitriy V. 29 Mastyło, Mieczysław 27 Maligranda, Lech 22 Huang, Jinghao 21 Semënov, Evgeniĭ Mikhaĭlovich 19 Kamińska, Anna 16 Kolwicz, Paweł 15 Chilin, Vladimir Ivanovich 15 Hudzik, Henryk 15 Leśnik, Karol 13 Curbera, Guillermo P. 13 Foralewski, Paweł 13 Gol’dman, Mikhail L’vovich 13 Persson, Lars-Erik 12 Ciesielski, Maciej 12 Martín, Joaquim 11 Tulenov, Kanat Serikovich 10 Jiao, Yong 9 Bakhtigareeva, Èl’za Gizarovna 8 Cobos, Fernando 8 de Pagter, Bernardus 8 Fernández-Martínez, Pedro 8 Petunin, Yuriĭ Ivanovich 8 Plichko, Anatoliĭ Mykolaĭovych 8 Signes, Teresa M. 8 Terekhin, Pavel Aleksandrovich 7 Bayramoğlu, Ismihan G. 7 Fonf, Vladimir P. 7 Litvinov, Semyon N. 7 Lykov, Konstantin Vladimirovich 7 Mleczko, Paweł 7 Neubauer, Andreas 7 Pliev, Marat Amurkhanovich 7 Tautenhahn, Ulrich 6 Berezhnoĭ, Evgeniĭ Ivanovich 6 Cui, Yunan 6 Karlovych, Oleksiy 6 Milman, Mario Marcos 6 Pesenson, Isaac Zalmanovich 5 Akishev, Gabdolla Akishevich 5 Bikchentaev, Aĭrat Midkhatovich 5 Bilalov, Bilal T. 5 Dodds, Peter G. 5 Eryılmaz, Serkan N. 5 Kikuchi, Masato 5 Kiwerski, Tomasz 5 Kończak, Joanna 5 Kostin, Andrey B. 5 Nikolova, Ludmila 5 Ostrovskii, Mikhail Iosifovich 5 Pokutnyĭ, Oleksandr Olekseevich 5 Raynaud, Yves 5 Ricker, Werner Joseph 5 Samko, Natasha 5 Sedaev, Alexander A. 5 Shargorodsky, Eugene 5 Usachev, Aleksandr Sergeevich 5 Volosivets, Sergeĭ Sergeevich 5 Zabreĭko, Pëtr Petrovich 4 Antoine, Jean-Pierre 4 Appell, Jürgen 4 Brudnyi, Yuri A. 4 Czerwińska, Małgorzata Marta 4 Feo, Filomena 4 Fernández-Cabrera, Luz M. 4 Frymark, Dale 4 Hernández Rodriguez, Francisco L. 4 Karapınar, Erdal 4 Kokilashvili, Vakhtang 4 Levitina, Galina Borisovna 4 Lewicki, Grzegorz 4 Liaw, Constanze 4 Murach, Aleksandr A. 4 Mykhaĭlets’, Volodymyr Andriĭovych 4 Ortiz, Walter A. 4 Pichugov, S. A. 4 Pick, Luboš 4 Płuciennik, Ryszard 4 Potapov, Denis 4 Pustylnik, Evgeniy 4 Sánchez, Víctor M. 4 Veksler, Aleksandr S. 4 Wu, Lian 4 Zhou, Dejian 3 Alili, Vafa G. 3 Arhancet, Cédric 3 Babuška, Ivo 3 Ber, Aleksey Feliksovich 3 Cadilhac, Léonard 3 Carey, Alan L. 3 Carro, María Jesús 3 Cianchi, Andrea 3 Cwikel, Michael 3 Delgado, Olvido 3 Dirksen, Sjoerd 3 Dronov, Alekseĭ Konstantinovich 3 Erem, Ayşegül 3 Favini, Angelo ...and 731 more Authors all top 5 Cited in 232 Serials 71 Journal of Mathematical Analysis and Applications 69 Journal of Functional Analysis 38 Mathematical Notes 31 Ukrainian Mathematical Journal 26 Journal of Mathematical Sciences (New York) 21 Advances in Mathematics 21 Positivity 20 Functional Analysis and its Applications 20 Journal of Approximation Theory 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Siberian Mathematical Journal 15 Mathematische Nachrichten 15 Indagationes Mathematicae. New Series 14 Proceedings of the American Mathematical Society 12 Cybernetics and Systems Analysis 11 Israel Journal of Mathematics 10 Studia Mathematica 10 Integral Equations and Operator Theory 9 Sbornik: Mathematics 9 Doklady Mathematics 9 Journal of Inequalities and Applications 8 Transactions of the American Mathematical Society 7 Lobachevskii Journal of Mathematics 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Journal of Soviet Mathematics 6 Zeitschrift für Analysis und ihre Anwendungen 6 Russian Mathematics 6 St. Petersburg Mathematical Journal 6 Banach Journal of Mathematical Analysis 5 Acta Mathematica Academiae Scientiarum Hungaricae 5 Archiv der Mathematik 5 Journal of Statistical Planning and Inference 5 Numerische Mathematik 5 Journal of Inverse and Ill-Posed Problems 5 Revista Matemática Complutense 5 Differential Equations 5 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 5 Mediterranean Journal of Mathematics 5 Proceedings of the Steklov Institute of Mathematics 5 Commentationes Mathematicae 4 Analysis Mathematica 4 Applicable Analysis 4 Journal of Mathematical Physics 4 Theoretical and Mathematical Physics 4 Arkiv för Matematik 4 Mathematics of Computation 4 Bulletin of the London Mathematical Society 4 Journal of Differential Equations 4 Journal of the London Mathematical Society. Second Series 4 Mathematische Annalen 4 Mathematische Zeitschrift 4 Numerical Functional Analysis and Optimization 4 Rendiconti del Seminario Matematico della Università di Padova 4 Results in Mathematics 4 Statistics & Probability Letters 4 The Journal of Geometric Analysis 4 The Journal of Fourier Analysis and Applications 4 Annales Academiae Scientiarum Fennicae. Mathematica 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Annals of Functional Analysis 4 Eurasian Mathematical Journal 3 Communications in Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Canadian Journal of Mathematics 3 Journal of Computational and Applied Mathematics 3 Linear Algebra and its Applications 3 Stochastic Processes and their Applications 3 Abstract and Applied Analysis 3 Econometric Theory 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 3 Nonlinear Analysis. Theory, Methods & Applications 2 Computers & Mathematics with Applications 2 Journal of Applied Mathematics and Mechanics 2 Lithuanian Mathematical Journal 2 Journal of Geometry and Physics 2 Colloquium Mathematicum 2 Computing 2 Manuscripta Mathematica 2 Monatshefte für Mathematik 2 Quaestiones Mathematicae 2 Aequationes Mathematicae 2 Automation and Remote Control 2 SIAM Journal on Mathematical Analysis 2 Vestnik St. Petersburg University. Mathematics 2 Potential Analysis 2 The Journal of Analysis 2 Theory of Probability and Mathematical Statistics 2 Russian Journal of Mathematical Physics 2 Computational and Applied Mathematics 2 Turkish Journal of Mathematics 2 Georgian Mathematical Journal 2 Journal of Convex Analysis 2 Bulletin des Sciences Mathématiques 2 Bernoulli 2 Izvestiya: Mathematics 2 Mathematical Physics, Analysis and Geometry 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics ...and 132 more Serials all top 5 Cited in 47 Fields 564 Functional analysis (46-XX) 264 Operator theory (47-XX) 88 Partial differential equations (35-XX) 88 Harmonic analysis on Euclidean spaces (42-XX) 68 Probability theory and stochastic processes (60-XX) 53 Numerical analysis (65-XX) 44 Ordinary differential equations (34-XX) 43 Real functions (26-XX) 41 Approximations and expansions (41-XX) 36 Statistics (62-XX) 27 Integral equations (45-XX) 23 Functions of a complex variable (30-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Global analysis, analysis on manifolds (58-XX) 13 Integral transforms, operational calculus (44-XX) 12 Measure and integration (28-XX) 11 General topology (54-XX) 10 Abstract harmonic analysis (43-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Fluid mechanics (76-XX) 8 Mechanics of deformable solids (74-XX) 6 Potential theory (31-XX) 6 Sequences, series, summability (40-XX) 6 Biology and other natural sciences (92-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Quantum theory (81-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Systems theory; control (93-XX) 5 Information and communication theory, circuits (94-XX) 4 Difference and functional equations (39-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Special functions (33-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 1 Group theory and generalizations (20-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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