On mappings preserving zero products

被引：19

作者：

Burgos, Maria ^{[1
]}

Sanchez-Ortega, Juana ^{[2
]}

机构：

[1] Univ Cadiz, Dept Matemat, Jerez de la Frontera 11405, Spain

[2] Univ Malaga, Dept Matemat Aplicada, E-29071 Malaga, Spain

来源：

LINEAR & MULTILINEAR ALGEBRA | 2013年 / 61卷 / 03期

关键词：

Banach algebras; socle; zero product preservers; zero Jordan product preservers; homomorphism; Jordan homomorphism; MAPS;

D O I：

10.1080/03081087.2012.678344

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A and B be unital complex algebras, assume that A is a semisimple Banach algebra with non-zero socle. We prove that under certain conditions every bijective linear map T: A???B, which preserves zero products, is an isomorphism multiplied by a central invertible element. Zero Jordan product preservers, and a more restrictive version of zero product preservers are also studied.

引用

页码：323 / 335

页数：13

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