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BOUNDEDSTRUCTURESOFUNIFORMLY A -CONVEXALGEBRAS B J M A BanachJ.Math.Anal.3(2009),no.1,19–27

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Banach J. Math. Anal. 3 (2009), no. 1, 19–27

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anach

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ournal of

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athematical

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nalysis ISSN: 1735-8787 (electronic)

http://www.math-analysis.org

BOUNDED STRUCTURES OF UNIFORMLY A-CONVEX ALGEBRAS

MOHAMED OUDADESS1 Communicated by M. Abel

Abstract. We examine the uniqueness of the bounded structure of semisim- ple and Mackey complete uniformlyA-convex algebras. We also consider the particular locallyC∗-case and the uniform one.

1 Ecole Normale Sup´erieure, B.P. 5118, Takaddoum, 10105 Rabat, Morocco.

E-mail address: [email protected]

Date: Received: 1 April 2008; Accepted: 20 June 2008.

2000Mathematics Subject Classification. Primary 46J05; Secondary 46K05.

Key words and phrases. UniformlyA-convex algebra, bounded structure, Mackey complete- ness, locallyC∗-algebra, uniform algebra.

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