Hyperstability of Jordan triple derivations on Banach algebras
Sang Og Kim, Abasalt Bodaghi
TL;DR
This paper proves that Jordan triple derivations on unital Banach algebras are hyperstable under natural assumptions and shows approximate derivations are actual derivations under mild conditions.
Contribution
It establishes the hyperstability of Jordan triple derivations and characterizes approximate derivations as true derivations in certain Banach algebra contexts.
Findings
Jordan triple derivations are hyperstable on unital Banach algebras
Approximate Jordan triple derivations are actual derivations
Results apply under natural and mild algebraic conditions
Abstract
In this article, it is proved that a functional equation of (linear) Jordan triple derivations on unital Banach algebras under quite natural and simple assumptions is hyperstable. It is also shown that under some mild conditions approximate Jordan triple derivations on unital semiprime Banach algebras are (linear) derivations.
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Taxonomy
TopicsFunctional Equations Stability Results · Advanced Topics in Algebra · Numerical methods for differential equations