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Approximate characterizations of projectivity and injectivity for Banach modules
Published online by Cambridge University Press: 01 September 2007
Abstract
We characterize projective and injective Banach modules in approximate terms, generalizing thereby a characterization of contractible Banach algebras given by F. Ghahramani and R. J. Loy. As a corollary, we show that each uniformly approximately amenable Banach algebra is amenable. Some applications to homological dimensions of Banach modules and algebras are also given.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 143 , Issue 2 , September 2007 , pp. 375 - 385
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- Copyright © Cambridge Philosophical Society 2007
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