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Compactifications of semitopological semigroups II

Published online by Cambridge University Press:  09 April 2009

Paul Milnes
Affiliation:
Department of Mathematics, University of Western Ontario London 72 Canada.
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Abstract

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Correcting some “proofs” given in an earlier paper of the same title, we prove here, among other things, that, if S is a subgroup of a topological group that is complete in a left invariant metric or locally compact, then every weakly almost periodic function on S is (left and right) uniformly continuous. We also prove a theorem related to results of R. B. Burckel and of W. W. Comfort and K. A. Ross: a topological group is pseudocompact if and only if WAP(G) = C(G).

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1976

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