Functional inequalities, isomorphisms and derivations on Banach algebras

被引：0
作者：
Khodaei, Hamid [1 ]
机构：
[1] Malayer Univ, Fac Math Sci & Stat, POB 65719-95863, Malayer, Iran
来源：
ACTA MATHEMATICA SCIENTIA | 2025年 / 45卷 / 03期
关键词：
functional inequality; isomorphism; derivation; n-Jordan derivation; ASTERISK-DERIVATIONS; APPROXIMATE; HOMOMORPHISMS; LIE; STABILITY;
D O I：
10.1007/s10473-025-0307-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We analyze existence and uniqueness of solutions for perturbations of a Jensen functional inequality in several variables. Applications in connection with asymptotic behaviors of isomorphisms, derivations and n-Jordan derivations on Banach algebras are also provided. The results of this paper correct and improve the main results of [12, 16, 22, 23] and improve the corresponding results in [2, 9, 27], but under weaker assumptions.
引用
收藏
页码：855 / 866
页数：12
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