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Weighted function algebras on groups and semigroups

Published online by Cambridge University Press:  17 April 2009

Heneri A. M. Dzinotyiweyi
Heneri A. M. Dzinotyiweyi
Affiliation:
Department of Mathematics, University of Zimbabwe, P.O. Box MP 167, Mount Pleasant, Harare, Zimbabwe.
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Abstract

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For a locally compact topological group admitting a weight function, we establish necessary and sufficient criteria for all the weighted continuous functions to be weakly almost periodic. Among other results, we show that weak almost periodicity of all ω-weighed continuous functions on a discrete semigroup S, can be very different drom the phenomenon of regularity of multiplication in the weighted algebra ℓ1 (S, w).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 33 , Issue 2 , April 1986 , pp. 307 - 318
Copyright
Copyright © Australian Mathematical Society 1986

References

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