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
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