M A Muratov

Publications (5)0.19 Total impact

• Article: *-algebras of unbounded operators affiliated with a von Neumann algebra

  M. A. Muratov, V. I. Chilin
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  ABSTRACT: In the paper, the *-algebras of measurable operators, locally measurable operators, and τ-measurable operators associated with a von Neumann algebra M are considered. Conditions under which some of these algebras coincide are given. Bibliography: 11 titles.
  Journal of Mathematical Sciences 04/2012; 140(3):445-451.
• Source

  Available from: ArXiv

  Article: Comparison of topologies on *-algebras of locally measurable operators

  V. I. Chilin, M. A. Muratov
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  ABSTRACT: We consider the locally measure topology $t(\mathcal{M})$ on the *-algebra $LS(\mathcal{M})$ of all locally measurable operators affiliated with a von Neumann algebra $\mathcal{M}$. We prove that $t(\mathcal{M})$ coincides with the $(o)$-topology on $LS_h(\mathcal{M})=\{T\in LS(\mathcal{M}): T^*=T\}$ if and only if the algebra $\mathcal{M}$ is $\sigma$-finite and a finite algebra. We study relationships between the topology $t(\mathcal{M})$ and various topologies generated by faithful normal semifinite traces on $\mathcal{M}$. Comment: 21 pages
  01/2010;
• Article: Almost-Everywhere Convergence and (o)-Convergence in Rings of Measurable Operators Associated with a Finite von Neumann Algebra

  M. A. Muratov, V. I. Chilin
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  ABSTRACT: We study the relationship between (o)-convergence and almost-everywhere convergence in the Hermite part of the ring of unbounded measurable operators associated with a finite von Neumann algebra. In particular, we prove a theorem according to which (o)-convergence and almost-everywhere convergence are equivalent if and only if the von Neumann algebra is of the type I.
  Ukrainian Mathematical Journal 08/2003; 55(9):1445-1456. · 0.19 Impact Factor
• Article: [Nature of fluorescence of secretions of the sebaceous glands in children depending on age and sex].

  V K Podymov, S P Gladkikh, V S Myskin, M A Muratov
  Vestnik dermatologii i venerologii 05/1980;
• Article: [Pathogenesis of discoid lupus erythematosus].

  V K Podymov, S P Gladkikh, V S Myskin, M A Muratov
  Vestnik dermatologii i venerologii 04/1980;