2-Local derivations and automorphisms on B(H)

被引：51

作者：

Ayupov, Sh. ^{[2
,3
]}

Kudaybergenov, K. ^{[1
]}

机构：

[1] Karakalpak State Univ, Dept Math, Nukus 230113, Uzbekistan

[2] Uzbek Acad Sci, Inst Math & Informat Technol, Tashkent 100125, Uzbekistan

[3] Abdus Salam Int Ctr Theoret Phys ICTP, Trieste, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 395卷 / 01期

关键词：

Derivation; Automorphism; 2-local derivation; 2-local automorphism; LOCAL AUTOMORPHISMS; ALGEBRAS;

D O I：

10.1016/j.jmaa.2012.04.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to 2-local derivations and 2-local automorphisms on the algebra B(H) of all bounded linear operators on a Hilbert space H. We prove that every 2-local derivation on B(H) is a derivation. A similar result is obtained for automorphisms. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：15 / 18

页数：4

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