Speciality:
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