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Derivations on a Fréchet convolution algebra associated with a weight

Published online by Cambridge University Press:  24 October 2008

J. P. McClure
J. P. McClure
Affiliation:
Department of Mathematics and Astronomy, University of Manitoba, Winnipeg, Canada, R3T 2N2
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Abstract

For certain Fréchet convolution algebras associated with a weight w on the half-line [0, ∞), we are interested in the question of which Radon measures on [0, ∞) determine the derivations on the algebra. For particular weights, we show that the derivations are determined by those measures in the multiplier algebra of the original algebra. However, we also give an example of a weight for which that characterization fails. The results show a connection between the space of derivations and the behaviour for large y of the ratio w(x + y)/w(x) w(y).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 1 , July 1992 , pp. 175 - 181
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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