数学物理学报(英文版) ›› 2025, Vol. 45 ›› Issue (3): 855-866.doi: 10.1007/s10473-025-0307-3

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FUNCTIONAL INEQUALITIES, ISOMORPHISMS AND DERIVATIONS ON BANACH ALGEBRAS

Hamid KHODAEI   

  1. Faculty of Mathematical Sciences and Statistics, Malayer University, P. O. Box: 65719-95863, Malayer, Iran
  • 收稿日期:2023-12-13 修回日期:2024-05-13 出版日期:2025-05-25 发布日期:2025-09-30

FUNCTIONAL INEQUALITIES, ISOMORPHISMS AND DERIVATIONS ON BANACH ALGEBRAS

Hamid KHODAEI   

  1. Faculty of Mathematical Sciences and Statistics, Malayer University, P. O. Box: 65719-95863, Malayer, Iran
  • Received:2023-12-13 Revised:2024-05-13 Online:2025-05-25 Published:2025-09-30
  • About author:Hamid KHODAEI, E-mail: hkhodaei@malayeru.ac.ir, hkhodaei.math@gmail.com

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.

关键词: functional inequality, isomorphism, derivation, $n$-Jordan derivation

Abstract: 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.

Key words: functional inequality, isomorphism, derivation, $n$-Jordan derivation

中图分类号: 

  • 39B72