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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Projective extensions of Banach algebras


Author: Andy R. Magid
Journal: Proc. Amer. Math. Soc. 54 (1976), 154-156
MSC: Primary 46H20
MathSciNet review: 0407606
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Abstract: It is shown that if $ A$ is a commutative Banach algebra and $ B$ a faithful $ A$-algebra finitely generated and projective as an $ A$-module then $ B$ can be endowed with a structure of Banach algebra extending that of $ A$.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0407606-0
Keywords: Projective module, Banach space, commutant
Article copyright: © Copyright 1976 American Mathematical Society