Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-27T18:36:34.007Z Has data issue: false hasContentIssue false
  • English
  • Français

On equicontinuous transformation groups

Published online by Cambridge University Press:  17 April 2009

Saber Elaydi
Saber Elaydi
Affiliation:
Department of Mathematics, Kuwait University, P0 Box 5969, Kuwait.
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.

It is shown that, under certain conditions, a transformation group is pointwise equicontinuous if and only if it is P-equicontinuous for some replete semigroup P in the phase group.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 24 , Issue 3 , December 1981 , pp. 367 - 372
Copyright
Copyright © Australian Mathematical Society 1981

References

[1]Baum, John D., “An equicontinuity condition in topological dynamics”, Proc. Amer. Math. Soc. 12 (1961), 30–32.CrossRefGoogle Scholar
[2]Coven, Ethan M., “P-recursion and transformation groups having an equicontinuous replete semigroup”, Math. Systems Theory 3 (1969), 170–178.CrossRefGoogle Scholar
[3]Gottschalk, Walter Helbig and Hedlund, Gustav Arnold, Topological dynamics (American Mathematical Society Colloquium Publication, 36. Amermican Mathematical Society, Providence, Rhode Island, 1955).Google Scholar
[4]Hajek, Otomar, “Prolongations in topological dynamics”, Seminar on differential equations and dynamical systems, II, 79–89 (Seminar Lectures, University of Maryland, 1969. Lecture Notes in Mathematics, 144. Springer-Verlag, Berlin, Heidelberg, New York, 1970).CrossRefGoogle Scholar