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Analysis on Locally Compact Semitopological Semigroups
2019This thesis focuses on the measure algebra M(S) of a locally compact semitopological semigroup S. In particular, we consider the analog of the group algebra L1(G) of a locally compact group G on S and the topological amenability of S. Among other results which shall be explained further in the introduction, the thesis answers the following open ...
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Every semitopological semigroup compactification of the group H + [0,1] is trivial
Semigroup Forum, 2001Let \(G=H_+[0, 1]\) be the topological group of all orientation-preserving selfhomeomorphisms of the closed interval \([0, 1]\) endowed with the compact-open topology. The author proves that every weakly almost periodic function on \(G\) is constant, and, consequently, every semitopological semigroup compactification of \(G\) is trivial.
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Semitopological Semigroups on Circlesâ€
Journal of the London Mathematical Society, 1972openaire +1 more source
Slowly oscillating functions on semitopological semigroup
2022Pashapournia, Ali +2 more
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Compact Connected Ordered Semitopological Semigroupsâ€
Journal of the London Mathematical Society, 1972openaire +1 more source
A Compact Monothetic Semitopological Semigroup Whose Set of Idempotents Is Not Closed
Semigroup Forum, 2013M Lemanczyk
exaly