Results 31 to 40 of about 590 (104)

On the transformation semitopological semigroup

open access: yes, 2007
In this paper we introduce the notion of weighted (weakly) almost periodic compactifcation of a semitopological semigroup and generalize this notion to corresponding notion for transformation semigroup.The inclusion relation and equality of some well ...
Abolghasemi, M.   +2 more
core   +1 more source

Semigroup compactifications by generalized distal functions and a fixed point theorem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 2, Page 253-260, 1991., 1991
The notion of “Semigroup compactification” which is in a sense, a generalization of the classical Bohr (almost periodic) compactification of the usual additive reals R, has been studied by J. F. Berglund et. al. [2]. Their approach to the theory of semigroup compactification is based on the Gelfand‐Naimark theory of commutative C* algebras, where the ...
R. D. Pandian
wiley   +1 more source

A note on quasi R*‐invariant measures on semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 4, Page 727-730, 1990., 1990
A characterization of quasi r*‐invariant measures on metric topological semigroups is obtained by showing that their support has a left group structure thus generalizing previously known results for relatively r*‐invariant measures and the topo‐algebraic structure of their support.
N. A. Tserpes
wiley   +1 more source

Banach representations and affine compactifications of dynamical systems

open access: yes, 2013
To every Banach space V we associate a compact right topological affine semigroup E(V). We show that a separable Banach space V is Asplund if and only if E(V) is metrizable, and it is Rosenthal (i.e.
Glasner, Eli, Megrelishvili, Michael
core   +1 more source

An amenability property of algebras of functions on semidirect products of semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 2, Page 297-305, 1983., 1982
Let S1 and S2 be semitopological semigroups, S1 τ S2 a semidirect product. An amenability property is established for algebras of functions on S1 τ S2. This result is used to decompose the kernel of the weakly almost periodic compactification of S1 τ S2 into a semidirect product.
Bao-Ting Lerner
wiley   +1 more source

Continuity in right semitopological groups

open access: yes, 2022
arXiv admin note: text overlap with arXiv:2203 ...
openaire   +2 more sources

Metrizability of paratopological (semitopological) groups

open access: yesTopology and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Semigroup Closures of Finite Rank Symmetric Inverse Semigroups

open access: yes, 2008
We introduce the notion of semigroup with a tight ideal series and investigate their closures in semitopological semigroups, particularly inverse semigroups with continuous inversion.
A. Abd-Allah   +35 more
core   +1 more source

On metrizable enveloping semigroups [PDF]

open access: yes, 2006
When a topological group $G$ acts on a compact space $X$, its enveloping semigroup $E(X)$ is the closure of the set of $g$-translations, $g\in G$, in the compact space $X^X$. Assume that $X$ is metrizable.
Glasner, Eli   +2 more
core   +4 more sources

Every Cech-analytic Baire semitopological group is a topological group [PDF]

open access: yesProceedings of the American Mathematical Society, 1996
This paper answers positively a question of Pfister by proving that every Čech-complete semitopological group (that is, a group with a separately continuous multiplication) is a topological group. In fact, a bit more is proved: every Čech-analytic Baire semitopological group is a topological group. The same result for locally compact groups is known as
openaire   +3 more sources

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