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
收藏
页码：375 / 382
页数：8
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