Jordan *-homomorphisms on $C^*$-algebras
M. Eshaghi Gordji, N. Ghobadipour, C. Park

TL;DR
This paper studies Jordan *-homomorphisms on $C^*$-algebras, focusing on their stability properties related to a specific functional inequality and equation, and establishes conditions for their superstability and Hyers-Ulam stability.
Contribution
It introduces new stability results for Jordan *-homomorphisms on $C^*$-algebras linked to a particular functional inequality and equation.
Findings
Proves superstability of Jordan *-homomorphisms.
Establishes generalized Hyers-Ulam stability.
Provides conditions under which approximate solutions are close to true homomorphisms.
Abstract
In this paper, we investigate Jordan *-homomorphisms on -algebras associated with the following functional inequality We moreover prove the superstability and the generalized Hyers-Ulam stability of Jordan *-homomorphisms on -algebras associated with the following functional equation
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Taxonomy
TopicsFunctional Equations Stability Results · Advanced Topics in Algebra · Advanced Operator Algebra Research
