The topologies of local convergence in measure on the algebras of measurable operators

DOI10.1134/S0037446623010020OpenAlexW4322577023MaRDI QIDQ2687451

Publication date: 2 March 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446623010020

zbMATH Keywords

local convergence in measure von Neumann algebra Hilbert space locally convex space linear operator measurable operator normal trace

Mathematics Subject Classification ID

Noncommutative measure and integration (46L51) Special classes of linear operators (47Bxx) General theory of linear operators (47Axx)

Cites Work

Convex sets in noncommutative $L_1$-spaces, closed in the topology of local convergence in measure
Ideal spaces of measurable operators affiliated to a semifinite von Neumann algebra
A non-commutative Yosida-Hewitt theorem and convex sets of measurable operators closed locally in measure
Local convergence in measure on semifinite von Neumann algebras. II.
Weak sequential completeness of factor spaces of the space of integrable operators
The continuity of multiplication for two topologies associated with a semifinite trace on von Neumann algebra
Generalized s-numbers of $\tau$-measurable operators
Theory of operator algebras. II
Minimality of convergence in measure topologies on finite von Neumann algebras
Invertibility of the operators on Hilbert spaces and ideals in $C^*$-algebras
Essentially invertible measurable operators affiliated to a semifinite von Neumann algebra and commutators
Convergence in measure and $\tau $-compactness of $\tau $-measurable operators, affiliated with a semifinite von Neumann algebra
Positivity of $2\times2$ block matrices of operators
Local convergence in measure on semifinite von Neumann algebras
When weak and local measure convergence implies norm convergence
On the positivity of trace class operators
Derivations with values in quasi-normed bimodules of locally measurable operators
Sufficient condition for Pareto optimization in Banach spaces
Noncommutative Kothe Duality
Some remarks on the convergence in measure and on a dominated sequence of operators measurable with respect to a semifinite von Neumann algebra
Triangle inequalities in operator algebras
Renormalizations of measurable operator ideal spaces affiliated to semi-finite von Neumann algebra
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