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A functorial approach to weak amenability for commutative Banach algebras

Published online by Cambridge University Press:  18 May 2009

Volker Runde
Volker Runde
Affiliation:
Department of Mathematics, University of California, Berkeley, CA 94720, USA
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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 34 , Issue 2 , May 1992 , pp. 241 - 251
Copyright
Copyright © Glasgow Mathematical Journal Trust 1992

References

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