Results 71 to 80 of about 246 (128)
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Bornological convergences and local proximity spaces [PDF]
In this paper we clarify the intensive interaction among uniformity, proximity and bornology in local proximity spaces bringing up their underlying uniform characters.
GUADAGNI, CLARA, DI CONCILIO, Anna
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On the existence of characteristic functions in bornological bispaces [PDF]
Shilpa Patra
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Bornological Approach Nearness
We introduce the notion of bornological approach nearness as a unified extension of various classical nearness structures. By redefining completeness within this framework, we establish a generalized version of the Niemytzki–Tychonoff theorem. Our results not only extend known compactness criteria in nearness spaces but also offer a new perspective ...
Leseberg, Dieter, Vaziry, Zohreh
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A ballean is a set endowed with a coarse structure.We introduce and explore three constructions of balleans from a pregiven family of balleans: bornological products, bouquets, and combs.
Banakh, T., Protasov, I.
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On realcompactifications defined by bornologies
: For each bornology on a Tychonoff space X we can construct a realcompactification (X) of X with the property that it contains all elements of as relatively compact subsets.
Vroegrijk, Tom
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The Paley-Wiener-Schwartz isomorphism in nuclear spaces
The authors are concerned with the characterization of those functions holomorphic on EC′ which are Fourier transforms of elements of ′ (E). Here E is a complete bornological vector space over R, (E) stands for the space of all complex-valued C ...
Martínez Ansemil, José María +1 more
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In this work we prove that, if A is an alternative semi-prime algebra, which is considered as a complete convex bornological vector space (respectively, completely bornological locally convex space) and its bornology has a net, then there is equivalent ...
Tajmouati, A.
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The Banach algebra $L^{1}(G)$ and tame functionals
summary:We give an affirmative answer to a question due to M. Megrelishvili, and show that for every locally compact group $G$ we have Tame$(L^{1}(G)) = $ Tame$(G)$, which means that a functional is tame over $L^{1}(G)$ if and only if it is tame as a ...
Komisarchik, Matan
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Topological algebras with maximal regular ideals closed
Abel Mati
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