Mappings preserving zero products

被引：95

作者：

Chebotar, MA

Ke, WF

Lee, PH

Wong, NC

机构：

[1] Chang Jung Christian Univ, Tainan 711, Taiwan

[2] Natl Taiwan Univ, Dept Math, Taipei 106, Taiwan

[3] Natl Cheng Kung Univ, Dept Math, Tainan 701, Taiwan

[4] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan

来源：

STUDIA MATHEMATICA | 2003年 / 155卷 / 01期

关键词：

zero-product preserver; algebra homomorphism; Jordan homomorphism; operator algebra; VON-NEUMANN-ALGEBRAS; C-ASTERISK-ALGEBRAS; LOCAL AUTOMORPHISMS; SEMIPRIME RINGS; OPERATORS; COMMUTATIVITY; IDEMPOTENTS; HOMOMORPHISMS; MAPS; CONTINUITY;

D O I：

10.4064/sm155-1-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let theta : M --> N be a zero-product preserving linear map between algebras. We show that under some mild conditions theta is a product of a central element and an algebra homomorphism. Our result applies to matrix algebras, standard operator algebras, C*-algebras and W*-algebras.

引用

页码：77 / 94

页数：18

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