Approximate characterizations of projectivity and injectivity for Banach modules

• Autores: A. Yu. Pirkovskii
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 143, Nº 2, 2007, págs. 375-385
• Idioma: inglés
• DOI: 10.1017/s0305004107000163
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• Resumen

  • 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.