2-LOCAL DERIVATIONS ON SEMI-FINITE VON NEUMANN ALGEBRAS

被引：17
|
作者：
Ayupov, Shavkat [1 ,2 ]
Arzikulov, Farkhad [1 ,3 ]
机构：
[1] Natl Univ Uzbekistan, Inst Math, Tashkent, Uzbekistan
[2] Abdus Salam Int Ctr Theoret Phys ICTP, Trieste, Italy
[3] Andizhan State Univ, Andizhan, Uzbekistan
来源：
GLASGOW MATHEMATICAL JOURNAL | 2014年 / 56卷 / 01期
关键词：
LOCAL AUTOMORPHISMS;
D O I：
10.1017/S0017089512000870
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper we prove that every 2-local derivation on a semi-finite von Neumann algebra is a derivation.
引用
收藏
页码：9 / 12
页数：4
相关论文
共 50 条
  • [1] Weak*-2-Local Derivations on Semi-finite von Neumann Algebras
    Yang, Bing
    Hou, Chengjun
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2022, 16 (04)
  • [2] Approximately 2-Local Derivations on the Semi-finite von Neumann Algebras
    Zhao X.
    Fang X.
    Yang B.
    Tongji Daxue Xuebao/Journal of Tongji University, 2019, 47 (09): : 1350 - 1354
  • [3] 2-Local Lie derivations on semi-finite factor von Neumann algebras
    Liu, Lei
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (09): : 1679 - 1686
  • [4] Approximately 2-Local Derivations on the Finite Von Neumann Algebras
    Tao, Fazhan
    Hou, Chengjun
    Deng, Mingcong
    2013 INTERNATIONAL CONFERENCE ON ADVANCED MECHATRONIC SYSTEMS (ICAMECHS), 2013, : 720 - 723
  • [5] 2-Local derivations on von Neumann algebras
    Ayupov, Shavkat
    Kudaybergenov, Karimbergen
    POSITIVITY, 2015, 19 (03) : 445 - 455
  • [6] On 2-local derivations of von Neumann algebras
    Liu, Lei
    LINEAR & MULTILINEAR ALGEBRA, 2024,
  • [7] 2-Local derivations on von Neumann algebras
    Shavkat Ayupov
    Karimbergen Kudaybergenov
    Positivity, 2015, 19 : 445 - 455
  • [8] Local Derivations on Subalgebras of τ-Measurable Operators with Respect to Semi-finite von Neumann Algebras
    Farrukh Mukhamedov
    Karimbergen Kudaybergenov
    Mediterranean Journal of Mathematics, 2015, 12 : 1009 - 1017
  • [9] Local Derivations on Subalgebras of τ-Measurable Operators with Respect to Semi-finite von Neumann Algebras
    Mukhamedov, Farrukh
    Kudaybergenov, Karimbergen
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2015, 12 (03) : 1009 - 1017
  • [10] THE STRUCTURE OF 2-LOCAL LIE DERIVATIONS ON VON NEUMANN ALGEBRAS
    Yang, Bing
    Fang, Xiaochun
    ANNALS OF FUNCTIONAL ANALYSIS, 2019, 10 (02): : 242 - 251
12345