DERIVATIONS ON ALGEBRAS OF MEASURABLE OPERATORS-Reference-Cited by-同舟云学术

DERIVATIONS ON ALGEBRAS OF MEASURABLE OPERATORS

Published:2010-06 Issue:02 Volume:13 Page:305-337
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

AYUPOV SH. A.¹,KUDAYBERGENOV K. K.²

Affiliation:

1. Institute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, Tashkent 100125, Uzbekistan

2. Karakalpak State University, Nukus 142012, Uzbekistan

Abstract

The present paper is a survey of recent results concerning derivations on various algebras of measurable operators affiliated with von Neumann algebras. A complete description of derivation is obtained in the case of type I von Neumann algebras. A special section is devoted to the Abelian case, namely to the existence of nontrivial derivations on algebras of measurable function. Local derivations on the above algebras are also considered.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025710004085

Reference54 articles.

1. Non-commutative Arens algebras and their derivations

2. Derivations on the algebra of measurable operators affiliated with a type I von Neumann algebra

3. Derivations on the Algebra of τ-Compact Operators Affiliated with a Type I von Neumann Algebra

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