Dominated convergence in measure on semifinite von Neumann algebras and arithmetic averages of measurable operators

DOI10.1134/S0037446612020036zbMath1257.46034OpenAlexW1970346284MaRDI QIDQ1760494

A. A. Sabirova, Airat M. Bikchentaev

Publication date: 14 November 2012

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

Full work available at URL: https://doi.org/10.1134/s0037446612020036

zbMATH Keywords

topology of convergence in measurevon Neumann algebraHilbert spaceBanach-Saks propertyBanach spacespectral theoremmeasurable operatornormal semifinite tracearithmetic averages

Mathematics Subject Classification ID

Noncommutative measure and integration (46L51)

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When weak and local measure convergence implies norm convergence ⋮ A noncommutative generalisation of a problem of Steinhaus ⋮ On sets of measurable operators convex and closed in topology of convergence in measure ⋮ Studies on noncommutative measure theory in Kazan university (1968--2018)

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