AUTOMATIC CONTINUITY OF N-HOMOMORPHISMS BETWEEN BANACH ALGEBRAS

被引：20
|
作者：
Honary, Taher G. [1 ]
Shayanpour, H. [1 ]
机构：
[1] Tarbiat Moallem Univ, Fac Math Sci & Comp, Tehran 1561836314, Iran
来源：
QUAESTIONES MATHEMATICAE | 2010年 / 33卷 / 02期
关键词：
Automatic continuity; Banach algebras; semisimple; strongly semisimple; factorizable algebras; n-homomorphism;
D O I：
10.2989/16073606.2010.491180
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An n-homomorphism between algebras is a linear map theta : A --> B such that theta(a(1)a(2) ... a(n)) = theta(a(1))theta(a(2)) ... theta(a(n)) for all elements a(1), a(2) ..., a(n) is an element of A. If A is a unital algebra it is known that every n-homomorphism is a multiple of a homomorphism. In this paper we extend some results of automatic continuity for n-homomorphisms between Banach algebras. The main results are the extensions of Johnson's theorem as well as a theorem due to C.E. Rickart for n-homomorphisms.
引用
收藏
页码：189 / 196
页数：8
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