Edit Profile (opens in new tab) Sherstnev, Anatolij N. Co-Author Distance Author ID: sherstnev.anatolij-n Published as: Sherstnev, A. N.; Sherstnev, Anatolij N.; Sherstnev, A.; Sherstnev, Anatoly N.; Sherstnev, Anatolij more...less Documents Indexed: 57 Publications since 1961, including 2 Books 4 Contributions as Editor Biographic References: 1 Publication Co-Authors: 21 Co-Authors with 29 Joint Publications 235 Co-Co-Authors all top 5 Co-Authors 32 single-authored 11 Lugovaya, G. D. 5 Trunov, N. V. 3 Bikchentaev, Aĭrat Midkhatovich 2 Mushtari, D. Kh. 2 Tikhonov, Oleg Evgen’evich 1 Aksent’ev, Leonid Aleksandrovich 1 Arslanov, Marat M. 1 Bukharaev, Rais Gatic 1 Dorofeev, Sergeĭ 1 Dudko, L. L. 1 Fomin, Viktor Egorovich 1 Gabdulkhaev, Bilsur Gabdulkhaevich 1 Il’insky, N. B. 1 Kekelidze, D. 1 Klokov, V. V. 1 Mouchtari, D. H. 1 Nasyrov, Semen R. 1 Salimov, Rasikh Bakhtigareevich 1 Stolyarov, A. I. 1 Turilova, Ekaterina A. 1 Zhegalov, Valentin Ivanovich all top 5 Serials 7 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 6 Konstruktivnaya Teoriya Funktsiĭ i Funktsional’nyĭ Analiz 6 Kazanskiĭ Gosudarstvennyĭ Universitet. Uchenye Zapiski 4 Soviet Mathematics 3 Russian Journal of Mathematical Physics 2 Mathematical Notes 2 Functional Analysis and its Applications 2 Mathematica Slovaca 2 Soviet Mathematics. Doklady 1 Computer Physics Communications 1 International Journal of Theoretical Physics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Russian Mathematical Surveys 1 Demonstratio Mathematica 1 Journal of Soviet Mathematics 1 Selected Translations in Mathematical Statistics and Probability 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Linear Algebra and its Applications 1 Russian Mathematics 1 Funktsional’nyĭ Analiz 1 Veroyatnostnye Metody i Kibernetika 1 Doklady Mathematics 1 Lobachevskii Journal of Mathematics 1 Translations. Series 2. American Mathematical Society all top 5 Fields 45 Functional analysis (46-XX) 11 Probability theory and stochastic processes (60-XX) 7 Operator theory (47-XX) 5 General and overarching topics; collections (00-XX) 4 Measure and integration (28-XX) 3 History and biography (01-XX) 3 General topology (54-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 207 times in 148 Documents Cited by ▼ Year ▼ The notion of random normed space. Zbl 0127.34902 Sherstnev, A. N. 41 1963 Methods of bilinear forms in non-commutative measure and integral theory. (Методы билинейных форм в некоммутативной теории меры и интеграла.) Zbl 1198.46002 Sherstnev, A. N. 33 2008 Characterization of normal traces on von Neumann algebras by inequalities for the modulus. Zbl 1027.46076 Stolyarov, A. I.; Tikhonov, O. E.; Sherstnev, A. N. 13 2002 Reference-type functions and their applications. Zbl 0739.46047 Dorofeev, S. V.; Sherstnev, A. N. 12 1990 Zufällige normierte Räume. Fragen der Vollständigkeit. Zbl 0178.52404 Sherstnev, A. N. 11 1962 Classes of subspaces affiliated with a von Neumann algebra. Zbl 1059.46508 Sherstnev, A. N.; Turilova, E. A. 9 1999 Boolean logics. Zbl 0235.02021 Sherstnev, A. N. 8 1968 Introduction to the theory of noncommutative integration. Zbl 0616.46058 Trunov, N. V.; Sherstnev, A. N. 7 1987 On the general theory of integration with respect to a weight in algebras of operators. I. (Zur allgemeinen Integrationstheorie in Operatoralgebren in bezug auf ein Gewicht. I.) Zbl 0397.46064 Trunov, N. V.; Sherstnev, A. N. 6 1978 Best approximation problems in random normed spaces. Zbl 0127.34903 Sherstnev, A. N. 5 1963 The concept of charge in a noncommutative framework of measurement theory. (Über den Begriff der Ladung im nichtkommutativen Schema der Maßtheorie.) Zbl 0303.28015 Sherstnev, A. N. 4 1974 Studies on noncommutative measure theory in Kazan university (1968–2018). Zbl 1487.46069 Bikchentaev, Airat M.; Sherstnev, Anatolij N. 4 2021 On Gleason’s theorem for unbounded measures. Zbl 0483.46042 Lugovaya, G. D.; Sherstnev, A. N. 4 1980 Projective convex combinations in \(C^ *\)-algebras with the unitary factorization property. Zbl 1080.46037 Bikchentaev, A. M.; Sherstnev, A. N. 3 2004 On realization of \(L_ 1\)-space with respect to an unbounded measure on projections. Zbl 0569.46038 Lugovaya, G. D.; Sherstnev, A. N. 3 1984 On certain problems in the theory of unbounded measures on projections. Zbl 0820.46063 Sherstnev, A. N. 3 1994 The representation of measures that are defined on the orthoprojectors of Hilbert space by bilinear forms. (Über die Darstellung der auf Orthoprojektoren des Hilbertraumes vorgegebenen Maße durch bilineare Formen.) Zbl 0269.46018 Sherstnev, A. N. 3 1970 States on von Neumann algebras. Zbl 0298.46070 Sherstnev, A. N. 3 1974 On the general theory of measure and integration in von Neumann algebras. Zbl 0545.46046 Sherstnev, A. N. 3 1982 Measures on projections in a \(W^\ast\)-algebra of type \(I_2\). Zbl 1318.46039 Sherstnev, A. N. 3 2013 On the general theory of integration with respect to a weight in algebras of operators. II. (Zur allgemeinen Integrationstheorie in Operatoralgebren in bezug auf ein Gewicht. II.) Zbl 0403.46051 Trunov, N. V.; Sherstnev, A. N. 3 1978 On extending an unbounded orthogonal vector measure in a semifinite von Neumann algebra to a weight. Zbl 0941.46037 Lugovaya, G.; Sherstnev, A. 2 1997 On a probabilistic generalization of metric spaces. (Über die wahrscheinlichkeitstheoretische Verallgemeinerung metrischer Räume.) Zbl 0178.52501 Sherstnev, A. N. 2 1964 On the extension problem for unbounded measures on projections. Zbl 0993.46030 Lugovaya, G. D.; Sherstnev, A. N. 2 2000 Jedes glatte Gewicht ist ein \(\ell\)-Gewicht. Zbl 0413.46051 Sherstnev, A. N. 2 1977 On the problem of continuation of unbounded measures on projectors to weights. Zbl 0968.46050 Lugovaya, G. D.; Sherstnev, A. N. 2 1999 On characterization of integrable sesquilinear forms. Zbl 1274.46122 Sherstnev, Anatolij N.; Tikhonov, O. E. 2 2012 An analog of the Hahn-Banach theorem for commutative semigroups. Zbl 1104.43300 Sherstnev, A. N. 1 2002 On the linearity problem for unbounded measures on projectors. Zbl 0569.46037 Lugovaya, G. D.; Sherstnev, A. N. 1 1984 Two-dimensional reductions of the cone of positive diagonal operators in \(\ell^{2}\). Zbl 1042.47030 Sherstnev, Anatoly N. 1 2003 On the solution of equations in functional derivatives. Zbl 0192.24002 Sherstnev, A. N. 1 1961 Probabilistic methods and cybernetics. No. 9. (Вероятностные методы и кибернетика. Выпуск 9.) Zbl 0231.60002 1 1971 On the connection between random metric spaces and Špaček spaces. (Über den Zusammenhang zwischen metrischen Zufallsräumen und Špačekschen Räumen.) Zbl 0253.60008 Sherstnev, A. N. 1 1967 Description of orthogonal vector fields over \(W^\ast\)-algebra of type \(I_2\). Zbl 1329.46055 Lugovaya, G. D.; Sherstnev, A. N. 1 2015 Order properties of orthogonal vector fields and a representation theorem. Zbl 1187.46047 Lugovaya, G. D.; Sherstnev, A. N. 1 2001 A non-commutative analogue to the space \(L_1\). Zbl 0413.46052 Sherstnev, A. N. 1 1978 Maße auf Idealen von Orthoprojektoren einer von Neumannschen Algebra. Zbl 0418.46054 Sherstnev, A. N. 1 1978 Bedingte Erwartung in einem Schema der nichtkommutativen Wahrscheinlichkeitstheorie. Zbl 0435.46048 Trunov, N. V.; Sherstnev, A. N. 1 1978 HepML, an XML-based format for describing simulated data in high energy physics. Zbl 1219.82007 Belov, S.; Dudko, L.; Kekelidze, D.; Sherstnev, A. 1 2010 On topological properties of orthogonal vector fields. Zbl 1261.46056 Lugovaya, G. D.; Sherstnev, A. N. 1 2011 On the integration of bounded operators with respect to measures on ideals of projectors. Zbl 0497.46042 Lugovaya, G. D.; Sherstnev, A. N. 1 1981 Studies on noncommutative measure theory in Kazan university (1968–2018). Zbl 1487.46069 Bikchentaev, Airat M.; Sherstnev, Anatolij N. 4 2021 Description of orthogonal vector fields over \(W^\ast\)-algebra of type \(I_2\). Zbl 1329.46055 Lugovaya, G. D.; Sherstnev, A. N. 1 2015 Measures on projections in a \(W^\ast\)-algebra of type \(I_2\). Zbl 1318.46039 Sherstnev, A. N. 3 2013 On characterization of integrable sesquilinear forms. Zbl 1274.46122 Sherstnev, Anatolij N.; Tikhonov, O. E. 2 2012 On topological properties of orthogonal vector fields. Zbl 1261.46056 Lugovaya, G. D.; Sherstnev, A. N. 1 2011 HepML, an XML-based format for describing simulated data in high energy physics. Zbl 1219.82007 Belov, S.; Dudko, L.; Kekelidze, D.; Sherstnev, A. 1 2010 Methods of bilinear forms in non-commutative measure and integral theory. (Методы билинейных форм в некоммутативной теории меры и интеграла.) Zbl 1198.46002 Sherstnev, A. N. 33 2008 Projective convex combinations in \(C^ *\)-algebras with the unitary factorization property. Zbl 1080.46037 Bikchentaev, A. M.; Sherstnev, A. N. 3 2004 Two-dimensional reductions of the cone of positive diagonal operators in \(\ell^{2}\). Zbl 1042.47030 Sherstnev, Anatoly N. 1 2003 Characterization of normal traces on von Neumann algebras by inequalities for the modulus. Zbl 1027.46076 Stolyarov, A. I.; Tikhonov, O. E.; Sherstnev, A. N. 13 2002 An analog of the Hahn-Banach theorem for commutative semigroups. Zbl 1104.43300 Sherstnev, A. N. 1 2002 Order properties of orthogonal vector fields and a representation theorem. Zbl 1187.46047 Lugovaya, G. D.; Sherstnev, A. N. 1 2001 On the extension problem for unbounded measures on projections. Zbl 0993.46030 Lugovaya, G. D.; Sherstnev, A. N. 2 2000 Classes of subspaces affiliated with a von Neumann algebra. Zbl 1059.46508 Sherstnev, A. N.; Turilova, E. A. 9 1999 On the problem of continuation of unbounded measures on projectors to weights. Zbl 0968.46050 Lugovaya, G. D.; Sherstnev, A. N. 2 1999 On extending an unbounded orthogonal vector measure in a semifinite von Neumann algebra to a weight. Zbl 0941.46037 Lugovaya, G.; Sherstnev, A. 2 1997 On certain problems in the theory of unbounded measures on projections. Zbl 0820.46063 Sherstnev, A. N. 3 1994 Reference-type functions and their applications. Zbl 0739.46047 Dorofeev, S. V.; Sherstnev, A. N. 12 1990 Introduction to the theory of noncommutative integration. Zbl 0616.46058 Trunov, N. V.; Sherstnev, A. N. 7 1987 On realization of \(L_ 1\)-space with respect to an unbounded measure on projections. Zbl 0569.46038 Lugovaya, G. D.; Sherstnev, A. N. 3 1984 On the linearity problem for unbounded measures on projectors. Zbl 0569.46037 Lugovaya, G. D.; Sherstnev, A. N. 1 1984 On the general theory of measure and integration in von Neumann algebras. Zbl 0545.46046 Sherstnev, A. N. 3 1982 On the integration of bounded operators with respect to measures on ideals of projectors. Zbl 0497.46042 Lugovaya, G. D.; Sherstnev, A. N. 1 1981 On Gleason’s theorem for unbounded measures. Zbl 0483.46042 Lugovaya, G. D.; Sherstnev, A. N. 4 1980 On the general theory of integration with respect to a weight in algebras of operators. I. (Zur allgemeinen Integrationstheorie in Operatoralgebren in bezug auf ein Gewicht. I.) Zbl 0397.46064 Trunov, N. V.; Sherstnev, A. N. 6 1978 On the general theory of integration with respect to a weight in algebras of operators. II. (Zur allgemeinen Integrationstheorie in Operatoralgebren in bezug auf ein Gewicht. II.) Zbl 0403.46051 Trunov, N. V.; Sherstnev, A. N. 3 1978 A non-commutative analogue to the space \(L_1\). Zbl 0413.46052 Sherstnev, A. N. 1 1978 Maße auf Idealen von Orthoprojektoren einer von Neumannschen Algebra. Zbl 0418.46054 Sherstnev, A. N. 1 1978 Bedingte Erwartung in einem Schema der nichtkommutativen Wahrscheinlichkeitstheorie. Zbl 0435.46048 Trunov, N. V.; Sherstnev, A. N. 1 1978 Jedes glatte Gewicht ist ein \(\ell\)-Gewicht. Zbl 0413.46051 Sherstnev, A. N. 2 1977 The concept of charge in a noncommutative framework of measurement theory. (Über den Begriff der Ladung im nichtkommutativen Schema der Maßtheorie.) Zbl 0303.28015 Sherstnev, A. N. 4 1974 States on von Neumann algebras. Zbl 0298.46070 Sherstnev, A. N. 3 1974 Probabilistic methods and cybernetics. No. 9. (Вероятностные методы и кибернетика. Выпуск 9.) Zbl 0231.60002 1 1971 The representation of measures that are defined on the orthoprojectors of Hilbert space by bilinear forms. (Über die Darstellung der auf Orthoprojektoren des Hilbertraumes vorgegebenen Maße durch bilineare Formen.) Zbl 0269.46018 Sherstnev, A. N. 3 1970 Boolean logics. Zbl 0235.02021 Sherstnev, A. N. 8 1968 On the connection between random metric spaces and Špaček spaces. (Über den Zusammenhang zwischen metrischen Zufallsräumen und Špačekschen Räumen.) Zbl 0253.60008 Sherstnev, A. N. 1 1967 On a probabilistic generalization of metric spaces. (Über die wahrscheinlichkeitstheoretische Verallgemeinerung metrischer Räume.) Zbl 0178.52501 Sherstnev, A. N. 2 1964 The notion of random normed space. Zbl 0127.34902 Sherstnev, A. N. 41 1963 Best approximation problems in random normed spaces. Zbl 0127.34903 Sherstnev, A. N. 5 1963 Zufällige normierte Räume. Fragen der Vollständigkeit. Zbl 0178.52404 Sherstnev, A. N. 11 1962 On the solution of equations in functional derivatives. Zbl 0192.24002 Sherstnev, A. N. 1 1961 all cited Publications top 5 cited Publications all top 5 Cited by 139 Authors 21 Bikchentaev, Aĭrat Midkhatovich 12 Saadati, Reza 9 Tikhonov, Oleg Evgen’evich 8 Sakbaev, Vsevolod Zhanovich 7 Dvurečenskij, Anatolij 7 Sherstnev, Anatolij N. 6 Cho, Yeol Je 6 Park, Choonkil 6 Turilova, Ekaterina A. 5 Ayupov, Shavkat Abdullaevich 5 Hamhalter, Jan 5 Kudaĭbergenov, Karimbergen Kadirbergenovich 4 Dinh Trung Hoa 4 Eshaghi Gordji, Madjid 4 Lee, Jung-Rye 4 Lugovaya, G. D. 4 Miheţ, Dorel 4 Peralta, Antonio M. 4 Sen, Mausumi 4 Tripathy, Binod Chandra 3 De Simone, Anna 3 Fawwaz, Khattab 3 Foulis, David James 3 Höhle, Ulrich 3 Navara, Mirko 3 Novikov, Andreĭ Andreevich 3 O’Regan, Donal 3 Pulmannová, Sylvia 3 Rassias, Themistocles Michael 2 Alessa, Nazek A. 2 Amosov, Grigoriĭ Gennad’evich 2 Balasubramanian, Ganapathy 2 Bavand Savadkouhi, Meysam 2 Chetcuti, Emmanuel 2 de Lucia, Paolo 2 Grekhneva, A. D. 2 Haloi, Rupam 2 Jin, Sunsook 2 Lee, Yang-Hi 2 Loganathan, K. 2 Matvejchuk, Marjan Stepanovich 2 Moynihan, Richard 2 Nath, Soumitra 2 Niazi, Mohsen 2 Pták, Pavel 2 Şençımen, Celaleddin 2 Shin, Dong-Yun 2 Tamilvanan, Kandhasamy 2 Trunov, N. V. 2 Vaezpour, Seyyed Mansour 2 Veselova, Lidia V. 2 Yakushev, Rinat S. 1 Abdou, Afrah Ahmad Noan 1 Aderyani, Safoura Rezaei 1 Albeverio, Sergio A. 1 Alhasan, Hasan 1 Amer, Mustafa A. 1 Amini, Massoud 1 Antal, Reena 1 Arzikulov, Farhodjon Nematjonovich 1 Benzarouala, Chaimaa 1 Bezdek, Pavel 1 Brown, Jack Bethel 1 Brzdęk, Janusz 1 Cavaliere, Paola 1 Chaharpashlou, Reza 1 Chawla, Meenakshi 1 Chi, Jie 1 Christensen, Neil D. 1 Ćirović, Nataša A. 1 Das, Samiran 1 Dragomir, Sever Silvestru 1 Durante, Fabrizio 1 Efremova, Lyudmila S. 1 Ferrara, Massimiliano 1 Ghosh, Argha 1 Guan, Jinyu 1 Gutiérrez García, Javier 1 Hadžić, Olga 1 Harikrishnan, Panackal 1 Hazarika, Bipan 1 Hu, Chaozhu 1 Ivan’shin, Pëtr Nikolaevich 1 Janda, Jiří 1 Jang, Sunyoung 1 Ješć, Siniša N. 1 Ju, Binshan 1 Kalinin, Vitaliy V. 1 Kang, Shin Min 1 Khan, Mohammad Saeed 1 Khodaei, Hamid 1 Kim, Gwang Hui 1 Klement, Erich Peter 1 Kubiak, Tomasz 1 Kumar, Vijay 1 Lafuerza Guillén, Bernardo 1 Lee, Young Whan 1 Lodkin, A. A. 1 Madadi, Masoumeh 1 Mariani, Maria Cristina ...and 39 more Authors all top 5 Cited in 62 Serials 15 Lobachevskii Journal of Mathematics 13 International Journal of Theoretical Physics 9 Mathematical Notes 7 Journal of Soviet Mathematics 7 Russian Mathematics 6 Fuzzy Sets and Systems 5 Journal of Inequalities and Applications 4 Functional Analysis and its Applications 4 Filomat 4 Positivity 3 Journal of Mathematical Analysis and Applications 3 Linear Algebra and its Applications 3 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Acta Mathematica Vietnamica 2 Algebra Universalis 2 Applied Mathematics and Computation 2 Mathematica Slovaca 2 Siberian Mathematical Journal 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Applied Mathematics Letters 2 Journal of Mathematical Sciences (New York) 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Advances in Difference Equations 2 Iranian Journal of Mathematical Sciences and Informatics 2 Korean Journal of Mathematics 1 Computer Physics Communications 1 International Journal of General Systems 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Reports on Mathematical Physics 1 Chaos, Solitons and Fractals 1 Algebra and Logic 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Acta Applicandae Mathematicae 1 Computational Mathematics and Mathematical Physics 1 Aequationes Mathematicae 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 St. Petersburg Mathematical Journal 1 Journal of the Egyptian Mathematical Society 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Soft Computing 1 Novi Sad Journal of Mathematics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Applied Sciences 1 Annales Mathematicae Silesianae 1 Differential Equations 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Thai Journal of Mathematics 1 Fixed Point Theory and Applications 1 Journal of Fixed Point Theory and Applications 1 European Journal of Pure and Applied Mathematics 1 Acta Universitatis Sapientiae. Mathematica 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Annals of Functional Analysis 1 Mathematical Sciences 1 Journal of Function Spaces 1 AIMS Mathematics all top 5 Cited in 28 Fields 107 Functional analysis (46-XX) 35 Operator theory (47-XX) 24 Difference and functional equations (39-XX) 24 Quantum theory (81-XX) 13 General topology (54-XX) 9 Mathematical logic and foundations (03-XX) 9 Sequences, series, summability (40-XX) 8 Probability theory and stochastic processes (60-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Real functions (26-XX) 4 Partial differential equations (35-XX) 3 Nonassociative rings and algebras (17-XX) 3 Integral equations (45-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year