FUNCTIONAL EQUATIONS IN BANACH MODULES AND APPROXIMATE ALGEBRA HOMOMORPHISMS IN BANACH ALGEBRAS

被引：0

作者：

Boo, Deok-Hoon ^{[1
]}

Kenary, Hassan Azadi ^{[2
]}

Park, Choonkil ^{[3
]}

机构：

[1] Chungnam Natl Univ, Dept Math, Daejeon 305764, South Korea

[2] Univ Yasuj, Coll Sci, Dept Math, Yasuj 75914353, Iran

[3] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea

来源：

KOREAN JOURNAL OF MATHEMATICS | 2011年 / 19卷 / 01期

关键词：

unitary group; partitioned functional equation; approximate algebra homomorphism; Banach module over C*-algebra; stability;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the Hyers-Ulam stability of partitioned functional equations in Banach modules over a unital C*-algebra. It is applied to show the stability of algebra homomorphisms in Banach algebras associated with partitioned functional equations in Banach algebras.

引用

页码：33 / 52

页数：20

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