Results 61 to 70 of about 367,122 (181)
Harmonic Synthesis on Group Extensions
Harmonic synthesis describes translation invariant linear spaces of continuous complex valued functions on locally compact abelian groups. The basic result due to L.
László Székelyhidi
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One point compactification for generalized quotient spaces
The concept of Generalized function spaces which were introduced and studied by Zemanian are further generalized as Boehmian spaces or as generalized quotient spaces in the recent literature.
V. Karunakaran, C. Ganesan
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Hausdorff operators on homogeneous spaces of locally compact groups
Hausdorff operators on the real line and multidimensional Euclidean spaces originated from some classical summation methods. Now it is an active research area. Hausdorff operators on general groups were defined and studied by the author since 2019.
Adolf R. Mirotin
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Compactly convex sets in linear topological spaces [PDF]
A convex subset $X$ of a~linear topological space is called{em compactly convex} if there is a~continuous compact-valuedmap $Phicolon Xoexp(X)$ such that$[x,y]subsetPhi(x)cupPhi(y)$ for all $x,yin X$.
T. Banakh, M. Mitrofanov, O. Ravsky
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Local Compactness in Fuzzy Convergence Spaces
The authors introduce and investigate two notions of locally compact fuzzy convergence spaces, continuing \textit{G. Jäger}'s paper on relative compactness [Fuzzy Sets Syst. 101, No. 1, 159-165 (1999; Zbl 0930.54008)]. Among others they show that the categories of these spaces are coreflective subcategories of the category of fuzzy convergence spaces.
Boissy, Y., Brock, P., Richardson, G.
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The concentration function problem for locally compact groups is concerned with the structure of groups admitting adapted nondissipating random walks.
Wilfried Hazod
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Unitary representability of free abelian topological groups
For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.
Vladimir V. Uspenskij
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Locally compact $F$-spaces, sub-stonean spaces and quotients of locally compact groups.
The author defines an \(F'\)-space to be a completely regular space in which disjoint open \(F_ \sigma\)-sets have disjoint closures. He then presents five characterizations of locally compact Hausdorff spaces that are \(F'\)-spaces, and subsequently proves that if \(G\) is a locally compact group and \(H\) is a closed subgroup for which the quotient ...
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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
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On cofree S-spaces and cofree S-flows
Let S-Tych be the category of Tychonoff S-spaces for a topological monoid S. We study the cofree S-spaces and cofree S-flows over topological spaces and we prove that for any topological space X and a topological monoid S, the function space C(S,X) with ...
Behnam Khosravi
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