Hostname: page-component-84b7d79bbc-tsvsl Total loading time: 0 Render date: 2024-08-04T21:04:45.510Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

1. Amerio, L. and Prouse, G., Almost-periodic functions and functional equations, Van Nostrand Reinhold Company (1971).Google Scholar
2. Besicovitch, A. S., Almost periodic functions, Dover Publications, Inc. (1954).Google Scholar
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