A survey on local and 2-local derivations on C*- and von Neuman algebras

被引:30
|
作者
Ayupov, Shavkat [1 ]
Kudaybergenov, Karimbergen [2 ]
Peralta, Antonio M. [3 ]
机构
[1] Natl Univ Uzbekistan, Inst Math, Tashkent 100125, Uzbekistan
[2] Karakalpak State Univ, Dept Math, Ch Abdirov 1, Nukus 230113, Uzbekistan
[3] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain
关键词
NONCOMMUTATIVE ARENS ALGEBRAS; MACKEY-GLEASON PROBLEM; JB-STAR-TRIPLES; OPERATOR-ALGEBRAS; CHARACTERIZING HOMOMORPHISMS; AUTOMATIC-CONTINUITY; JORDAN DERIVATIONS; COMPACT TRIPOTENTS; REAL; AUTOMORPHISMS;
D O I
10.1090/conm/672/13462
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We survey the results on local and 2-local derivations on C*-algebras, von Neumann algebras and JB*-triples.
引用
收藏
页码:73 / 126
页数:54
相关论文
共 50 条
  • [1] 2-Local derivations on von Neumann algebras
    Ayupov, Shavkat
    Kudaybergenov, Karimbergen
    POSITIVITY, 2015, 19 (03) : 445 - 455
  • [2] On 2-local derivations of von Neumann algebras
    Liu, Lei
    LINEAR & MULTILINEAR ALGEBRA, 2024,
  • [3] 2-LOCAL DERIVATIONS ON C ∗-ALGEBRAS
    Huang, Wenbo
    Li, Jiankui
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2024, 61 (03) : 813 - 823
  • [4] 2-Local derivations on von Neumann algebras
    Shavkat Ayupov
    Karimbergen Kudaybergenov
    Positivity, 2015, 19 : 445 - 455
  • [5] 2-Local Derivations on Some C*-Algebras
    Fard, Meysam Habibzadeh
    Sahleh, Abbas
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (03) : 649 - 656
  • [6] Local and 2-local derivations on octonion algebras
    Ayupov, Shavkat
    Kudaybergenov, Karimbergen
    Allambergenov, Allayar
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023, 22 (07)
  • [7] Local derivations and 2-local Lie derivations of triangular algebras
    Liu, Dan
    Niu, Xiaolei
    SCIENCEASIA, 2024, 50 (02):
  • [8] Derivations, local and 2-local derivations on algebras of measurable operators
    Ayupov, Shavkat
    Kudaybergenov, Karimbergen
    TOPICS IN FUNCTIONAL ANALYSIS AND ALGEBRA, 2016, 672 : 51 - 72
  • [9] 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
  • [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