2$-local derivations on algebras of locally measurable operators

2$-local derivations on algebras of locally measurable operators

The paper is devoted to 2-local derivations on the algebra LS(M) of all locally measurable operators affiliated with a type [I.sub.[infinity]] von Neumann algebra M. We prove that every 2-local derivations on any *-subalgebra A in LS(M), such that M [subset] A, is a derivation. Key words and phrases...

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Veröffentlicht in:Annals of functional analysis 2013-01, Vol.4 (2), p.110-117
Hauptverfasser: Abdullaevich Ayupov, Shavkat, Kudaybergenov, Karimbergen, Alauadinov, Amir
Format: Artikel
Sprache:eng
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Zusammenfassung:The paper is devoted to 2-local derivations on the algebra LS(M) of all locally measurable operators affiliated with a type [I.sub.[infinity]] von Neumann algebra M. We prove that every 2-local derivations on any *-subalgebra A in LS(M), such that M [subset] A, is a derivation. Key words and phrases. measurable operator, derivation, 2-local derivation.
ISSN:2008-8752
2008-8752
DOI:10.15352/afa/1399899529