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A CHARACTERISATION OF 3-JORDAN HOMOMORPHISMS ON BANACH ALGEBRAS

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

Published online by Cambridge University Press:  04 September 2015

A. ZIVARI-KAZEMPOUR
A. ZIVARI-KAZEMPOUR*
Affiliation:
Department of Mathematics, Ayatollah Borujerdi University, Borujerd, Iran email zivari@abru.ac.ir, zivari6526@gmail.com
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Abstract

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We show that, under special hypotheses, each 3-Jordan homomorphism ${\it\varphi}$ between Banach algebras ${\mathcal{A}}$ and ${\mathcal{B}}$ is a 3-homomorphism.

Keywords

n-homomorphismn-Jordan homomorphismC∗ -algebra

MSC classification

Primary: 47B48: Operators on Banach algebras
Secondary: 46L05: General theory of $C^*$-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 93 , Issue 2 , April 2016 , pp. 301 - 306
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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