Results 71 to 80 of about 246 (128)

Pointwise bornological spaces

open access: yesTopology and its Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Bornological convergences and local proximity spaces [PDF]

open access: yes, 2014
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
core  

Bornological Approach Nearness

open access: yesInternational Journal of Topology
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
openaire   +1 more source

Constructing balleans

open access: yes, 2018
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.
core  

On realcompactifications defined by bornologies

open access: yes, 2011
: 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
core  

The Paley-Wiener-Schwartz isomorphism in nuclear spaces

open access: yes, 1981
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
core   +1 more source

ON BOUNDEDNESS AND CONTNUITY OF JORDAN, ORDINARY AND QUADRATIC PRODUCT IN ALTERNATIVE SEMI-PRIME ALGEBRAS

open access: yes, 2013
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.
core  

The Banach algebra $L^{1}(G)$ and tame functionals

open access: yes
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
core   +1 more source

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