Renormalizations of measurable operator ideal spaces affiliated to semi-finite von Neumann algebra

DOI10.13108/2019-11-3-3zbMath1463.46091OpenAlexW3017976112MaRDI QIDQ5137836

Airat M. Bikchentaev

Publication date: 2 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa476

zbMATH Keywords

von Neumann algebraHilbert spacerenormalizationlinear operatormeasurable operatorsnormal traceideal space

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (1)

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

Cites Work

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• Ideal spaces of measurable operators affiliated to a semifinite von Neumann algebra
• Notes on non-commutative integration
• On a property of \(L_p\) spaces on semifinite von Neumann algebras
• Minimality of convergence in measure topologies on finite von Neumann algebras
• A non-commutative extension of abstract integration
• Derivations with values in quasi-normed bimodules of locally measurable operators
• Noncommutative Kothe Duality
• Triangle inequalities in operator algebras
• Non-commutative L^P-spaces

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