Results 11 to 20 of about 49,072 (124)

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 ...
Qianhong Huang
semanticscholar   +3 more sources

Compactifications of semitopological semigroups [PDF]

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.
Paul Milnes
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A Class of Distal Functions on Semitopological Semigroups [PDF]

, 2009
To appear in Methods Funct.
Ali Jabbari, Hamid Reza Ebrahimi Vishki
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A metrizable semitopological semilattice with non-closed partial order

Topological Algebra and its Applications, 2020
We construct a metrizable semitopological semilattice X whose partial order P = {(x, y) ∈ X × X : xy = x} is a non-closed dense subset of X × X. As a by-product we find necessary and sufficient conditions for the existence of a (metrizable) Hausdorff ...
Banakh Taras, Bardyla Serhii, Ravsky Alex   +2 more
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Compactifications of semitopological semigroups II [PDF]

Journal of the Australian Mathematical Society, 1976
AbstractCorrecting 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.
Paul Milnes
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On locally compact shift continuous topologies on the semigroup $\boldsymbol{B}_{[0,\infty)}$ with an adjoined compact ideal [PDF]

Математичні Студії
Let $[0,\infty)$ be the set of all non-negative real numbers. The set $\boldsymbol{B}_{[0,\infty)}=[0,\infty)\times [0,\infty)$ with the following binary operation $(a,b)(c,d)=(a+c-\min\{b,c\},b+d-\min\{b,c\})$ is a bisimple inverse semigroup.
O. V. Gutik, M. B. Khylynskyi
doaj   +2 more sources

The universal semilattice compactification of a semigroup

International Journal of Mathematics and Mathematical Sciences, 1999
The universal abelian, band, and semilattice compactifications of a semitopological semigroup are characterized in terms of three function algebras.
H. R. Ebrahimi Vishki, M. A. Pourabdollah   +1 more
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A note on feebly compact semitopological symmetric inverse semigroups of a bounded finite rank [PDF]

Visnyk Lvivskogo Universytetu. Seriya Mekhaniko-Matematychna, 2021
We study feebly compact shift-continuous $T_1$-topologies on the symmetric inverse semigroup $\mathscr{I}_\lambda^n$ of finite transformations of the rank $\leqslant n$.
Олег Гутік
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Filters and the weakly almost periodic compactification of a semitopological semigroup [PDF]

, 2013
Let S be a semitopological semigroup. The wap− compactification of semigroup S, is a compact semitopological semi- group with certain universal properties relative to the original semi- group, and the Lmc− compactification of semigroup S is a univer- sal
M. Akbari Tootkaboni
semanticscholar   +3 more sources

Quasiminimal distal function space and its semigroup compactification

International Journal of Mathematics and Mathematical Sciences, 1995
Quasiminimal distal function on a semitopological semigroup is introduced. The concept of right topological semigroup compactification is employed to study the algebra of quasiminimal distal functions.
R. D. Pandian
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