Results 71 to 80 of about 181 (133)
, 2009 With each metric space (X,d) we can associate a bornological space (X,Bd) where Bd is the set of all subsets of X with finite diameter. Equivalently, Bd is the set of all subsets of X that are contained in a ball with finite radius.
Vroegrijk, Tom
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Bochner integrals in ordered vector spaces. [PDF]
Positivity (Dordr), 2017 van Rooij ACM, van Zuijlen WB.
europepmc +1 more source
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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The structure of extended real-valued quasi-metric spaces
, 2018 ThesisAn extended quasi-metric q on a nonempty set X without any assumed structure is a distance functional that satis es the usual properties of a quasi-metric except that it can assume values of in nity, in addition to non-negative real values. Given
Matindih, Levy Kahyata
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On the Equivalence of Some Basic Principles in Variational Analysis
, 1999 The primary goal of this paper is to study relationships between certain basic principles of variational analysis and its applications to nonsmooth calculus and optimization.
Borwein, Jonathan M +2 more
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On the existence of characteristic functions in bornological bispaces [PDF]
Electronic Journal of MathematicsShilpa Patra
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The Paley-Wiener-Schwartz isomorphism in nuclear spaces
, 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
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, 1981 Let E be a vector space with a convex "bornology'', in the sense of H. Hogbe-Nlend [Théorie des bornologies et applications, Lecture Notes in Math., 213, Springer, Berlin, 1971. If Ω is a set and Σ a σ -algebra of P(Ω) , a map m:Σ→E such that m(∅)=0
Bombal Gordón, Fernando
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, 2011 A bornology on a nonempty set X is a family of subsets of X that is closed under taking finite unions, that is hereditary, and that forms a cover of X. Bornologies have been widely applied in functional analysis and topology to form the general framework
Cao, J
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, 2012 A bornology on a nonempty set X is a family of subsets of X that is closed under taking finite unions, that is hereditary, and that forms a cover of X. Bornologies have been widely applied in functional analysis and topology to form the general framework
Cao, J
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