Results 51 to 60 of about 175 (103)
Semigroup closures of finite rank symmetric inverse semigroups
, 2009 We introduce the notion of semigroup with a tight ideal series and investigate their closures in semitopological semigroups, particularly inverse semigroups with continuous inversion.
Lawson, Jimmie +2 more
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West semigroups as compactifications of locally compact abelian groups
, 2016 In this paper, we will identify certain subsemigroups of the unit ball of as semitopological compactifications of locally compact abelian groups, using an idea of West (Proc R Ir Acad Sect A 67:27-37, 1968).
Elgun, Elcim
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Totally disconnected semigroup compactifications of topological groups
, 2022 We introduce the notion of an introverted Boolean algebra $\cal B$ of closed-and-open subsets of a topological group $G$, show that the associated Stone space $(\nu_{\cal B} G, \nu_{\cal B})$ is a totally disconnected semigroup compactification of $G ...
Stokke, Ross, Stephens, Alexander
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On some generalization of the bicyclic semigroup: the topological version
We show that every Hausdorff Baire topology $tau$ on ${cal C} = langle a,b | a^2b=a, ab^2=b rangle$ such that $({cal C},tau)$ is a semitopological semigroup is discrete and we construct a nondiscrete Hausdorff semigroup topology on ${cal C}$.
Cencelj, Matija +2 more
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Means, homomorphisms, and compactifications of weighted semitopological semigroups
Proceedings - Mathematical Sciences, 1999 The algebras of complex-valued functions \(f\) from a weighted semitopological semigroup \((S,w)\) such that \(\frac fw\) is continuous are studied (a weighted semitopological semigroup \((S,w)\) is a semitopological semigroup \(S\) and a function \(w:S\to (0,\infty)\) such that \(w\) is bounded to any compact subset of \(S\) and \(w(st)\leq w(s)w(t)\)
Khadem-Maboudi, A. A. +1 more
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, 2022 Let $S$ be a right reversible semitopological semigroup, and let $\operatorname{LUC}(S)$ be the space of left uniformly continuous functions on $S$. Suppose that $\operatorname{LUC}(S)$ has a left invariant mean.
Muoi, Bui Ngoc, Wong, Ngai-Ching
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Fixed point theorem for nonexpansive semigroup on Banach space
, 1994 Let C be a nonempty closed convex subset of a uniformly convex Banach space, and let S be a semitopological semigroup such that RUC ( S ) {\text {RUC}}(S) has a left invariant submean.
Wataru Takahashi, Doo Hoan Jeong
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On semitopological actions of generalized I-semigroups
Semigroup Forum, 1985 The following problem was posed by \textit{J. D. Lawson} [Semigroup Forum 12, 265-280 (1976; Zbl 0327.22003)]. Let I be the interval [0,1], provided with the ''min''-multiplication. Is it true that every semitopological action of I on a compact space is in fact a topological action?
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Primitive idempotent measures on compact semitopological semigroups [PDF]
Journal of the Australian Mathematical Society, 1972 For a semigroup S let I(S) be the set of idempotents in S. A natural partial order of I(S) is defined by e ≦ f if ef = fe = e. An element e in I(S) is called a primitive idempotent if e is a minimal non-zero element of the partially ordered set (I(S), ≦). It is easy to see that an idempotent e in S is primitive if and only if, for any idempotent f in S,
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Fixed point properties for semigroups of nonlinear mappings and amenability
, 2012 In this paper we study fixed point properties for semitopological semigroup of nonexpansive mappings on a bounded closed convex subset of a Banach space. We also study a Schauder fixed point property for a semitopological semigroup of continuous mappings
Yong Zhang +3 more
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