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.

引用

页码：195 / 200

页数：6

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