01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
9.09.1951
Keywords:
Von Neumann algebra,
measurable operator,
symmetric space.
Subject:
,Algebras of measurable and locally measurable operators, Ergodic theorems, Symmetric space
Main publications:
Muratov M.A., Chilin V.I., “$*$-Algebras of Unbounded Operators Affiliated with von Neumann Algebra”, Journal of Mathematical Science, 140
\number 3 (2007), 183–197
Muratov M.A., Chilin V.I., “Algebras of measurable and locally measurable operators”, Proc. Inst. Math.of Nat. Acad. Sci. of Ukraine, 69, Inst. Math.of Nat. Acad. Sci. of Ukraine, Kiev, 2007, 397
M.Muratov, J.Pashkova, B.Rubshtein, “Ergodic Theorems in Rearrangement Invariant Spaces”, Operator Methods in Mathematical Physics, Operator Theory. Advances and Applications, 227, Birkhauser, Springer Basel, 2013, 123–142
V.I. Chilin, M.A. Muratov, “Comparison of topologies on $*$-algebras of locally measurable operators”, Positivity, 17 (2013), 111–132
M.V. Ahramovich, V.I. Chilin, M.A. Muratov, “Fuglede–Putnam Theorem in the algebra of locally measurable operators”, Indian Journal of Mathematics, 55 (2013), 13–20
E. A. Berbat, M. A. Muratov, Yu. S. Pashkova, “Generalized symmetric Orlicz $F$-spaces”, Taurida Journal of Computer Science Theory and Mathematics, 2022, no. 4, 7–21
2020
2.
M. A. Muratov, B.-Z. A. Rubshtein, “Symmetric spaces of measurable functions: old and new advances”, CMFD, 66:2 (2020), 221–271
M. A. Muratov, B. A. Rubshtein, “Embedding theorems for symmetric spaces of measurable functions”, Taurida Journal of Computer Science Theory and Mathematics, 2018, no. 1, 67–88
2016
4.
M. A. Muratov, V. I. Chilin, “Topological algebras of measurable and locally measurable operators”, CMFD, 61 (2016), 115–163
M. V. Ahramovich, M. A. Muratov, V. S. Shulman, “Fuglede–Putnam Theorem in Algebras with Involutions”, Mat. Zametki, 98:4 (2015), 483–497; Math. Notes, 98:4 (2015), 537–549
M. A. Muratov, V. I. Chilin, “$*$-algebras of unbounded operators affiliated with a von Neumann algebra”, Zap. Nauchn. Sem. POMI, 326 (2005), 183–197; J. Math. Sci. (N. Y.), 140:3 (2007), 445–451
V. I. Voytitsky, M. A. Muratov, Yu. S. Pashkova, P. A. Starkov, T. A. Suslina, D. O. Tsvetkov, “In memory of Nikolay Dmitrievich Kopachevsky, a mathematician and a human”, CMFD, 67:2 (2021), 193–207
2020
8.
O. V. Anashkin, E. M. Varfolomeev, V. I. Voytitsky, V. I. Donskoy, D. A. Zakora, A. B. Muravnik, M. A. Muratov, Yu. S. Pashkova, V. È. Petrov, E. V. Plokhaya, A. L. Skubachevskii, P. A. Starkov, T. A. Suslina, D. O. Tsvetkov, V. N. Chekhov, A. A. Shkalikov, A. I. Yakovlev, “Nikolay Dmitrievich Kopachevsky. March 25, 1940 — May 18, 2020”, CMFD, 66:2 (2020), 157–159
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