IJPAM: Volume 107, No. 3 (2016)

A NOTE ON INNER AUTOMOROPHISM
ON BANACH ALGEBRAS

A. Zivari-Kazempour$^1$, M. Firouzeh$^2$
$^{1,2}$Department of Mathematics
University of Ayatollah Borujerdi
Borujerd, IRAN


Abstract. In this paper we prove that every unital Banach algebra $\mathcal{A}$ is commutative if and only if $Inn(\mathcal{A})=\lbrace \mathcal{I}\rbrace$, where $\mathcal{I}$ is the identity map on $\mathcal{A}$. Some related result are given as well.

Received: January 27, 2016

AMS Subject Classification: 46L05, 46H25

Key Words and Phrases: inner automorphism, bounded approximate identity, Banach algebra

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DOI: 10.12732/ijpam.v107i3.14 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 3
Pages: 667 - 672


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