Local convergence in measure on semifinite von Neumann algebras

DOI10.1134/S0081543806040043zbMath1351.46057OpenAlexW4231319412MaRDI QIDQ2342256

Airat M. Bikchentaev

Publication date: 11 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543806040043

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative measure and integration (46L51)

Related Items (13)

Concerning the theory of \(\tau\)-measurable operators affiliated to a semifinite von Neumann algebra ⋮ Trace and integrable operators affiliated with a semifinite von Neumann algebra ⋮ Comparison of topologies on \(\ast\)-algebras of locally measurable operators ⋮ Convergence of integrable operators affiliated to a finite von Neumann algebra ⋮ The topologies of local convergence in measure on the algebras of measurable operators ⋮ The algebra of thin measurable operators is directly finite ⋮ Convergence in measure and \(\tau \)-compactness of \(\tau \)-measurable operators, affiliated with a semifinite von Neumann algebra ⋮ Studies on noncommutative measure theory in Kazan university (1968--2018) ⋮ On idempotent \(\tau\)-measurable operators affiliated to a von Neumann algebra ⋮ Dominated convergence in measure on semifinite von Neumann algebras and arithmetic averages of measurable operators ⋮ Second dual projection characterizations of three classes of \(L^0\)-closed, convex, bounded sets in \(L^1\): non-commutative generalizations ⋮ Rearrangements of tripotents and differences of isometries in semifinite von Neumann algebras ⋮ Topological algebras of measurable and locally measurable operators

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