On automatic continuity of 3-homomorphisms on Banach algebras

被引：0
|
作者：
Bracic, Janko [1 ]
Moslehian, Mohammad Sal [2 ,3 ,4 ]
机构：
[1] Univ Ljubljana, Dept Math, Ljubljana 1111, Slovenia
[2] Ferdowsi Univ Mashhad, Dept Math, Mashhad 91775, Iran
[3] Ferdowsi Univ Mashhad, CEAAS, Mashhad 91775, Iran
[4] BMRG, Mashhad, Iran
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2007年 / 30卷 / 02期
关键词：
3-homomorphism; homomorphism; continuity; Banach algebra; bounded approximate identity; second dual; Arens regularity; C*-algebra;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A linear map phi : A -> B between (Banach) algebras is called 3-homomorphism if phi(abc) = phi(a)phi(b)phi(c) for each a, b, c is an element of A. We investigate 3-homomorphisms on Banach algebras with bounded approximate identities and establish in two ways (for unital and non-unital cases) that every involution preserving homomorphism between C*-algebras is norm decreasing.
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页码：195 / 200
页数：6
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