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<p>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 <i>n</i>-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.</p>

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Functional inequalities, isomorphisms and derivations on Banach algebras

  • 期刊论文

  • 发表日期：

    2025年2月17日

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  • Hamid Khodaei

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.