n-Jordan homomorphisms
M. Eshaghi Gordji

TL;DR
This paper investigates n-Jordan homomorphisms on Banach algebras, exploring their properties, differences from Jordan homomorphisms, and conditions for their continuity.
Contribution
It provides new insights into the structure and continuity of n-Jordan homomorphisms in Banach algebras, extending previous understanding of Jordan homomorphisms.
Findings
Some n-Jordan homomorphisms are continuous under certain conditions
Characterization of n-Jordan homomorphisms in Banach algebras
Examples illustrating differences from Jordan homomorphisms
Abstract
Let and let be two rings. An additive map is called n-Jordan homomorphism if for all . Every Jordan homomorphism is an n-Jordan homomorphism, for all but the converse is false, in general. In this paper we investigate the n-Jordan homomorphisms on Banach algebras. Indeed some results related to continuity are given as well.
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Taxonomy
TopicsFunctional Equations Stability Results · Advanced Topics in Algebra · Mathematical and Theoretical Analysis
