2-local derivations on algebras of locally measurable operators

Shavkat Abdullaevich Ayupov; Karimbergen Kudaybergenov; Amir Alauadinov

doi:10.15352/afa/1399899529

2-local derivations on algebras of locally measurable operators

Shavkat Abdullaevich Ayupov
, Karimbergen Kudaybergenov^*
, Amir Alauadinov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The paper is devoted to 2-local derivations on the algebra LS(M) of all locally measurable operators affiliated with a type I_∞ von Neumann algebra M . We prove that every 2-local derivations on any *-subalgebra A in LS(M), such that M ⊆ A, is a derivation.

Original language	English
Pages (from-to)	110-117
Number of pages	8
Journal	Annals of Functional Analysis
Volume	4
Issue number	2
DOIs	https://doi.org/10.15352/afa/1399899529
State	Published - 2013
Externally published	Yes

Keywords

2-local derivation
Derivation
Measurable operator

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10.15352/afa/1399899529

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abstract = "The paper is devoted to 2-local derivations on the algebra LS(M) of all locally measurable operators affiliated with a type I∞ von Neumann algebra M . We prove that every 2-local derivations on any *-subalgebra A in LS(M), such that M ⊆ A, is a derivation.",

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AB - The paper is devoted to 2-local derivations on the algebra LS(M) of all locally measurable operators affiliated with a type I∞ von Neumann algebra M . We prove that every 2-local derivations on any *-subalgebra A in LS(M), such that M ⊆ A, is a derivation.

KW - 2-local derivation

KW - Derivation

KW - Measurable operator

UR - https://www.scopus.com/pages/publications/84879224965

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DO - 10.15352/afa/1399899529

M3 - 文章

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SN - 2639-7390

VL - 4

SP - 110

EP - 117

JO - Annals of Functional Analysis

JF - Annals of Functional Analysis

IS - 2

ER -

2-local derivations on algebras of locally measurable operators

Abstract

Keywords

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