Results 31 to 40 of about 116 (89)
Central Sets Theorem Near of an Idempotent in Wap-Compactification
Journal of Function Spaces, 2023 A small part of real line which is very close to zero has rich combinatorial properties. The aim of this paper is to express and then prove some locally combinatorial concepts near a virtual idempotent by considering the wap-compactification of a ...
Ali Pashapournia +2 more
doaj +1 more source
Almost periodic functions on semitopological semigroups
Rocky Mountain Journal of Mathematics, 1982 Paul Milnes
exaly +4 more sources
On pseudocompact topological Brandt λ0-extensions of semitopological monoids
Topological Algebra and Its Applications, 2013 Oleg Gutik
exaly +2 more sources
On the transformation semitopological semigroup [PDF]
International Mathematical Forum, 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 known function spaces on a weighted transformation semigroup is also investigated.
Abolghasemi, M. +2 more
openaire +2 more sources
Математичні Студії, 2023 Let $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ be the bicyclic semigroup extension for the family $\mathscr{F}$ of ${\omega}$-closed subsets of $\omega$ which is introduced in \cite{Gutik-Mykhalenych=2020}.
O. V. Gutik, M. S. Mykhalenych
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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.
openaire +2 more sources
On a locally compact monoid of cofinite partial isometries of ℕ with adjoined zero
Topological Algebra and its Applications, 2022 Let 𝒞ℕ be a monoid which is generated by the partial shift α : n↦n +1 of the set of positive integers ℕ and its inverse partial shift β : n + 1 ↦n. In this paper we prove that if S is a submonoid of the monoid Iℕ∞ of all partial cofinite isometries of ...
Gutik Oleg, Khylynskyi Pavlo
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Quantum Dynamical Semigroups and Decoherence
Advances in Mathematical Physics, Volume 2011, Issue 1, 2011., 2011 We prove a version of the Jacobs‐de Leeuw‐Glicksberg splitting theorem for weak* continuous one‐parameter semigroups on dual Banach spaces. This result is applied to give sufficient conditions for a quantum dynamical semigroup to display decoherence. The underlying notion of decoherence is that introduced by Blanchard and Olkiewicz (2003).
Mario Hellmich, Christian Maes
wiley +1 more source
On Nonexpansive and Expansive Semigroup of Order-Preserving Total Mappings in Waist Metric Spaces
Journal of Nigerian Society of Physical Sciences, 2022 In this paper, we introduce nonexpansive and expansive semigroup of order-preserving total mappings (ONTn) and (OETn), respectively, to prove some fixed point theorems in waist metric spaces.
O. T. Wahab +3 more
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Characterizations of vector‐valued weakly almost periodic functions
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 5, Page 295-304, 2003., 2003 We characterize the weak almost periodicity of a vector‐valued, bounded, continuous function. We show that if the range of the function is relatively weakly compact, then the relative weak compactness of its right orbit is equivalent to that of its left orbit. At the same time, we give the function some other equivalent properties.
Chuanyi Zhang
wiley +1 more source