Results 71 to 80 of about 116 (89)
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Compactifications of semitopological semigroups

Journal of the Australian Mathematical Society, 1973
Suppose S is a semitopological semigroup. We consider various subspaces of C(S) and determine what topological algebraic structure can be introduced into the spaces of means on the subspaces and into the spectra of the C*-sub-algebras of C(S) they generate.
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A Compact Monothetic Semitopological Semigroup Whose Set of Idempotents Is Not Closed

Semigroup Forum, 2001
For every monothetic unitary group without co-compact subgroups there exists an affine compactification by a semitopological semigroup such that the set of idempotents of the semigroup is not closed. This is a negative answer to a question asked by Berglund (see Problem 29 in Ruppert's list).
Bouziad, Ahmed   +2 more
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Analysis on Locally Compact Semitopological Semigroups

2019
This 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, 2001
Let \(G=H_+[0, 1]\) 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 Circles†

Journal of the London Mathematical Society, 1972
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Compact semitopological semigroups

1967
J. F. Berglund, K. H. Hofmann
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Slowly oscillating functions on semitopological semigroup

2022
Pashapournia, Ali   +2 more
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Compact Connected Ordered Semitopological Semigroups†

Journal of the London Mathematical Society, 1972
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