IJPAM: Volume 70, No. 7 (2011)

APPROXIMATE AMENABILITY OF
CENTERS OF BANACH ALGEBRAS

A. Jabbari
Young Researchers Club
Islamic Azad University, Ardabil Branch
Ardabil, IRAN


Abstract. Let $G$ be a locally compact topological group. In this paper we study approximate amenability of the center of $L^1(G)$. We show that if the center of $L^1(G)$ is approximately amenable then $G$ is amenable.

Received: May 19, 2011

AMS Subject Classification: 46H20, 43A20

Key Words and Phrases: amenability, approximate amenability, approximately inner, Banach algebra, center

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 7