Uniformly continuous and weakly almost periodic functions on some topological semigroups

Author:
Heneri A. M. Dzinotyiweyi

Journal:
Proc. Amer. Math. Soc. **114** (1992), 571-574

MSC:
Primary 22A20; Secondary 43A60

MathSciNet review:
1072336

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Abstract: Let be the space of bounded left uniformly continuous functions and the space of bounded weakly almost periodic functions on a topological semigroup . For a large class of topological semigroups called stips that are not relatively neocompact, we show that the quotient space contains an isometric linear copy of . The result is particularly interesting on noting that the underlying topological semigroup is not assumed to support an absolutely continuous measure--a theme studied by the author in a previous paper.

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1992-1072336-0

Keywords:
Topological semigroup,
uniformly continuous functions,
weakly almost periodic functions

Article copyright:
© Copyright 1992
American Mathematical Society