Approximate characterizations of projectivity and injectivity for Banach modules
Functional Analysis
2019-05-01 v1
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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Cite
@article{arxiv.math/0603124,
title = {Approximate characterizations of projectivity and injectivity for Banach modules},
author = {A. Yu. Pirkovskii},
journal= {arXiv preprint arXiv:math/0603124},
year = {2019}
}
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12 pages