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
收藏
页码：15 / 18
页数：4
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