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The cardinality of the set of left invariant means on topological semigroups

Published online by Cambridge University Press:  17 April 2009

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

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For a very large class of topological semigroups, we establish lower and upper bounds for the cardinality of the set of left invariant means on the space of left uniformly continuous functions. In certain cases we show that such a cardinality is exactly , where b is the smallest cardinality of the covering of the underlying topological semigroup by compact sets.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 2 , April 1988 , pp. 247 - 262
Copyright
Copyright © Australian Mathematical Society 1988

References

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