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n-JORDAN HOMOMORPHISMS

Part of: Topological algebras, normed rings and algebras, Banach algebras Special classes of linear operators

Published online by Cambridge University Press:  19 June 2009

M. ESHAGHI GORDJI
M. ESHAGHI GORDJI*
Affiliation:
Department of Mathematics, Semnan University, PO Box 35195-363, Semnan, Iran (email: madjid.eshaghi@gmail.com)
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Abstract

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Let n∈ℕ and let A and B be rings. An additive map h:A→B is called an n-Jordan homomorphism if h(an)=(h(a))n for all a∈A. Every Jordan homomorphism is an n-Jordan homomorphism, for all n≥2, but the converse is false in general. In this paper we investigate the n-Jordan homomorphisms on Banach algebras. Some results related to continuity are given as well.

Keywords

Jordan homomorphism-homomorphismBanach algebra

MSC classification

Secondary: 47B48: Operators on Banach algebras 46H25: Normed modules and Banach modules, topological modules (if not placed in or )
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 80 , Issue 1 , August 2009 , pp. 159 - 164
Copyright
Copyright © Australian Mathematical Society 2009

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