A perturbation of m-order derivations on Banach algebras

被引：0

作者：

Jung, Yong-Soo ^{[1
]}

Park, Kyoo-Hong ^{[2
]}

机构：

[1] Sun Moon Univ, Dept Math, Asan 336708, Chungnam, South Korea

[2] Seowon Univ, Dept Math Educ, Cheongju 361742, Chungnam, South Korea

来源：

TURKISH JOURNAL OF MATHEMATICS | 2009年 / 33卷 / 04期

关键词：

m-order derivation; approximate m-order derivation; stability; ULAM-RASSIAS STABILITY; FUNCTIONAL-EQUATION;

D O I：

10.3906/mat-0809-36

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let, A be a unital Banach algebra and let m, 1 <= m <= 4, be an integer. If f : A -> A is an approximate m-order derivation in the sense of Hyers-Ulam-Rassias, then f : A -> A is an exact m-order derivation.

引用

页码：375 / 382

页数：8

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