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A functorial approach to weak amenability for commutative Banach algebras
Published online by Cambridge University Press: 18 May 2009
Extract
Let A be a commutative algebra, and let M be a bimodule over A. A derivation from A into M is a linear mapping D: A→M that satisfies
If M is only a left A-module, by a derivation from A into M we mean a linear mapping D: A→M such that
Each A-bimodule M is trivially a left module. However, unless it is commutative, i.e.
the two classes of linear operators from A into M characterized by (1) and (2), respectively, need not coincide.
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- Copyright © Glasgow Mathematical Journal Trust 1992
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