A NOTE ON 2-LOCAL REPRESENTATIONS OF C*-ALGEBRAS

被引：9
|
作者：
Peralta, Antonio M. [1 ]
机构：
[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain
来源：
OPERATORS AND MATRICES | 2015年 / 9卷 / 02期
关键词：
Local homomorphism; local *-homomorphism; 2-local homomorphism; 2-local *-homomorphism; local representation; 2-local representation; MULTIPLICATIVE LINEAR FUNCTIONALS; LOCAL TRIPLE DERIVATIONS; ORTHOGONALITY PRESERVERS; AUTOMORPHISMS; ISOMETRIES; IDEALS; FORMS;
D O I：
10.7153/oam-09-20
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We survey the results on linear local and 2-local homomorphisms and zero products preserving operators between C*-algebras, and we incorporate some new precise observations and results to prove that every bounded linear 2-local homomorphism between C*-algebras is a homomorphism. Consequently, every linear 2-local *-homomorphism between C*-algebras is a *-homomorphism.
引用
收藏
页码：343 / 358
页数：16
相关论文
共 50 条
  • [1] A note on 2-local autornorphisms of digraph algebras
    Xie, JH
    Lu, FY
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 378 : 93 - 98
  • [2] 2-LOCAL DERIVATIONS ON C ∗-ALGEBRAS
    Huang, Wenbo
    Li, Jiankui
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2024, 61 (03) : 813 - 823
  • [3] 2-Local Derivations on Some C*-Algebras
    Fard, Meysam Habibzadeh
    Sahleh, Abbas
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (03) : 649 - 656
  • [4] A Note on Local Superderivations and 2-Local Superderivations on Mn(C)
    Folner, Ajda
    Folner, Maja
    INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2009 (ICCMSE 2009), 2012, 1504 : 1341 - 1343
  • [5] A survey on local and 2-local derivations on C*- and von Neuman algebras
    Ayupov, Shavkat
    Kudaybergenov, Karimbergen
    Peralta, Antonio M.
    TOPICS IN FUNCTIONAL ANALYSIS AND ALGEBRA, 2016, 672 : 73 - 126
  • [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] A note on 2-local maps
    Lin, Ying-Fen
    Wong, Tsai-Lien
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2006, 49 : 701 - 708
  • [8] 2-LOCAL MAPPINGS ON ALGEBRAS WITH INVOLUTION
    Fosner, Ajda
    ANNALS OF FUNCTIONAL ANALYSIS, 2014, 5 (01): : 63 - 69
  • [9] 2-Local automorphisms of operator algebras
    Liu, Junc-Hui
    Wong, Ngai-Ching
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 321 (02) : 741 - 750
  • [10] 2-Local derivations on Witt algebras
    Zhao, Yueqiang
    Chen, Yang
    Zhao, Kaiming
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (04)
12345