Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2018; 33(1): 165-170

Online first article November 30, 2017      Printed January 31, 2018

https://doi.org/10.4134/CKMS.c170071

Copyright © The Korean Mathematical Society.

Automatic continuity of $n$-Jordan homomorphisms on Banach algebras

Abbas Zivari-Kazempour

Ayatollah Borujerdi University

Abstract

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In this paper, we show that every unital $n$-Jordan homomorphism $\varphi$ from a Banach algebra $\mathcal{A}$ onto a semisimple commutative Banach algebra $\mathcal{B}$ is continuous.

Keywords: automatic continuity, $n$-Jordan homomorphism, semisimple

MSC numbers: Primary 47B48; Secondary 46L05, 46H25

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