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A NEW PROOF OF THE AMENABILITY OF C(X)

Part of: Commutative Banach algebras and commutative topological algebras

Published online by Cambridge University Press:  13 January 2010

MORTAZA ABTAHI  and
YONG ZHANG
MORTAZA ABTAHI*
Affiliation:
Department of Mathematics, Damghan University of Basic Sciences, Damghan 3671641167, Iran (email: abtahi@dubs.ac.ir)
YONG ZHANG
Affiliation:
Department of Mathematics, University of Manitoba, R3T 2N2, Canada (email: zhangy@cc.umanitoba.ca)
*
✉For correspondence; e-mail: abtahi@dubs.ac.ir
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Abstract

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In this paper, we present a constructive proof of the amenability of C(X), where X is a compact space.

Keywords

Banach algebra of continuous functionsamenabilityapproximate diagonal

MSC classification

Secondary: 46J10: Banach algebras of continuous functions, function algebras
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 81 , Issue 3 , June 2010 , pp. 414 - 417
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

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