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Approximate characterizations of projectivity and injectivity for Banach modules
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.Comment: 12 page
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