Continuous derivations on algebras of locally measurable operators are inner

DOI10.1112/plms/pdt070zbMath1304.46064arXiv1302.4883OpenAlexW3103756577MaRDI QIDQ2874664

A. F. Ber, Vladimir I. Chilin, Pheodor A. Sukochev

Publication date: 8 August 2014

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.4883

zbMATH Keywords

von Neumann algebraautomatic continuityinner derivationderivationalgebras of locally measurable operators

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items

Derivations, local and 2-local derivations on algebras of measurable operators, Band projections and decomposition of normal traces on von Neumann algebras, Derivations with values in quasi-normed bimodules of locally measurable operators, Notes on derivations of Murray-von Neumann algebras, Ring derivations of Murray-von Neumann algebras, Non-existence of translation-invariant derivations on algebras of measurable functions, Derivations with values in noncommutative symmetric spaces, Norms of skew-adjoint derivations with values in the predual of a semifinite von Neumann algebra, Derivations with values in ideals of semifinite von Neumann algebras, M-embedded symmetric operator spaces and the derivation problem, Derivations and 2-local derivations on matrix algebras and algebras of locally measurable operators, Derivations on Murray–von Neumann algebras, Topological algebras of measurable and locally measurable operators, Derivations of Murray-von Neumann algebras, Derivations with values in the ideal of \(\tau\)-compact operators affiliated with a semifinite von Neumann algebra

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