Mappings preserving zero products

被引：93
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.
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页码：77 / 94
页数：18
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