Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2015; 52(3): 761-769

Printed May 31, 2015

https://doi.org/10.4134/BKMS.2015.52.3.761

Copyright © The Korean Mathematical Society.

Some characterizations of character amenable Banach algebras

Madjid Eshaghi Gordji, Ali Jabbari, and Gwang Hui Kim

Semnan University, Islamic Azad University, Kangnam University

Abstract

In this study, the character amenability of Banach algebras is considered and some characterization theorems are established. Indeed, we prove that the character amenability of Lipschitz algebras is equivalent to that of Banach algebras.

Keywords: amenability, Banach algebra, character amenability

MSC numbers: Primary 46H20, 46H25; Secondary 43A20