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On Weakly Almost-Periodic Families of Linear Operators

Published online by Cambridge University Press:  20 November 2018

Aribindi Satyanarayan Rao
Aribindi Satyanarayan Rao*
Affiliation:
Department of Mathematics, University of Montreal Montreal, Quebec, Canada
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Abstract

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In this note first the weak almost-periodicity of the action of a weakly almost-periodic family of linear operators on an almost-periodic function is established. Then an application of this result is given.

Keywords

Primary 43A6034C2534G05Secondary 47D0547D10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 1 , April 1975 , pp. 81 - 85
Copyright
Copyright © Canadian Mathematical Society 1975

References

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3. Dunford, N. and Schwartz, J. T., Linear operators, part I, Interscience Publishers, Inc., New York (1958).Google Scholar
4. Zaidman, S., Sur la perturbation presque-périodique des groupes et semi-groupes de transformations d'un espace de Banach, Rendiconti di Matematica e délie sue Applicazioni (Rome), Vol. 16 (1957), pp. 197-206.Google Scholar