On Centralizers of Banach Algebras

被引：23
作者：
Ghahramani, Hoger [1 ]
机构：
[1] Univ Kurdistan, Dept Math, Sanandaj, Iran
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2015年 / 38卷 / 01期
关键词：
Centralizer; Jordan centralizer; Bilinear map; Linear map; PRESERVING ZERO PRODUCTS; C-ASTERISK-ALGEBRAS; CHARACTERIZING HOMOMORPHISMS; DERIVATIONS; MAPS; RINGS; IDEMPOTENTS; ELEMENTS;
D O I：
10.1007/s40840-014-0011-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A be a unital Banach algebra and M be a unital Banach A-bimodule. The main results characterize a continuous linear map phi : A -> M that satisfies a phi(a(-1)) = phi(1) or a phi(a(-1)) + phi(a(-1))a = 2 phi(1) for all a in principal component of invertible elements of A. The proof is based on the consideration of a continuous bilinear map satisfying a related condition.
引用
收藏
页码：155 / 164
页数：10
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