n-Jordan homomorphisms

2008/12/15 by M. Eshaghi Gordji, Gordji, M. Eshaghi
Mathematics · #46L05 #47B48 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46L05 #msc:47B48

paper · pdf · doi:10.48550/arxiv.0812.2934

arxiv created 2008/12/15 · arxiv updated 2009/12/01

Abstract

Let n∈ \Bbb N, and let A,B be two rings. An additive map h: A→ B is called 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. Indeed some results related to continuity are given as well.

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