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Compactness and Almost Periodicity of Multipliers

Published online by Cambridge University Press:  20 November 2018

G. Crombez
G. Crombez*
Affiliation:
Seminar of Higher Analysis, State University of GhentGalglaan 2 B-9000 Gent (Belguim)
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Abstract

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The question as to the existence of nontrivial compact or weakly compact multipliers between spaces of functions on groups has been investigated for several years. Until now, however, no general method which is applicable to a large class of function spaces seems to be known

In this paper we prove that the existence of nontrivial compact multipliers between Banach function spaces on which a group acts is related to the existence of nonzero almost periodic functions.

Keywords

43A2243A60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 1 , 01 March 1983 , pp. 58 - 62
Copyright
Copyright © Canadian Mathematical Society 1983

References

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