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Approximate and weak amenability of certain Banach algebras

Bharucha, P.; Loy, R. J.

Description

The notions of approximate amenability and weak amenability in Banach algebras are formally stronger than that of approximate weak amenability. We demonstrate an example confirming that approximate weak amenability is indeed actually weaker than either approximate or weak amenability themselves. As a consequence, we examine the (failure of) approximate amenability for ℓp-sums of finite-dimensional normed algebras.

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
URI: http://hdl.handle.net/1885/102522
Source: Studia Mathematica
DOI: 10.4064/sm197-2-5

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