Approximate characterizations of projectivity and injectivity for Banach modules

Details Approximate characterizations of projectivity and injectivity for Banach modules Approximate characterizations of projectivity and injectivity for Banach modules

2006-03-05

arxiv.org/abs/math/0603124v1

Mathematics

Functional Analysis

12 pages

Scientific paper

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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