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Local spectral properties of convolution operators on non-abelian groups

Published online by Cambridge University Press:  20 January 2009

Volker Runde
Volker Runde
Affiliation:
Fachbereich 9 Mathematik Universität Des Saarlandes Postfach 151150 66041 Saarbrücken Germany E-mail address: [email protected]
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Abstract

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Let G be a Moore group. Then, for each f∈L1(G), the convolution operator Lf: L1(G)→L1(G) is decomposable. On the other hand, there is a discrete probability measure µ on a compact group G such that Lµ: Ll(G)→Ll(G) fails to be decomposable.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 1 , February 1996 , pp. 143 - 149
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

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