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
相关论文
共 50 条
  • [41] 2-LOCAL DERIVATIONS ON ALGEBRAS OF LOCALLY MEASURABLE OPERATORS
    Ayupov, Shavkat Abdullaevich
    Kudaybergenov, Karimbergen
    Alauadinov, Amir
    ANNALS OF FUNCTIONAL ANALYSIS, 2013, 4 (02) : 110 - 117
  • [42] 2-Local Automorphisms on Basic Classical Lie Superalgebras
    Li YU
    Ying WANG
    Hai Xian CHEN
    Ji Zhu NAN
    Acta Mathematica Sinica,English Series, 2019, (03) : 427 - 437
  • [43] 2-Local derivations on the Schrodinger-Virasoro algebra
    Jiang, Qi
    Tang, Xiaomin
    LINEAR & MULTILINEAR ALGEBRA, 2024, 72 (08): : 1328 - 1345
  • [44] 2-Local Automorphisms on Basic Classical Lie Superalgebras
    Li Yu
    Ying Wang
    Hai Xian Chen
    Ji Zhu Nan
    Acta Mathematica Sinica, English Series, 2019, 35 : 427 - 437
  • [45] 2-Local derivations of real AW*-algebras are derivation
    Dadakhodjaev, R. A.
    Rakhimov, A. A.
    POSITIVITY, 2021, 25 (04) : 1351 - 1356
  • [46] 2-Local Automorphisms on Basic Classical Lie Superalgebras
    Yu, Li
    Wang, Ying
    Chen, Hai Xian
    Nan, Ji Zhu
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2019, 35 (03) : 427 - 437
  • [47] Derivations and 2-Local Derivations on Matrix Algebras and Algebras of Locally Measurable Operators
    Huang, Wenbo
    Li, Jiankui
    Qian, Wenhua
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (01) : 227 - 240
  • [48] Derivations and 2-Local Derivations on Matrix Algebras and Algebras of Locally Measurable Operators
    Wenbo Huang
    Jiankui Li
    Wenhua Qian
    Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 227 - 240
  • [49] 2-local derivations on the planar Galilean conformal algebra
    Chen, Qiu-Fan
    He, Yan
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2023, 34 (05)
  • [50] 2-Local derivations of real AW*-algebras are derivation
    R. A. Dadakhodjaev
    A. A. Rakhimov
    Positivity, 2021, 25 : 1351 - 1356
12345