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Transformation groups of strong characteristic 0

Published online by Cambridge University Press:  17 April 2009

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

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It is shown that a transformation group (X, T, Π) is of strong characteristic 0 if and only if it is of P-strong characteristic 0 for some replete semigroup P in the phase group, provided that all orbit closures are compact. It is shown also that, under certain conditions, (X, T, Π) is of P-strong characteristic 0 if and only if (X × X, T, Π × Π) is Liapunov stable.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 2 , April 1983 , pp. 243 - 248
Copyright
Copyright © Australian Mathematical Society 1983

References

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