Results 81 to 90 of about 246 (128)

Measure and integration in bornological spaces. (Spanish: Medida e integración en espacios bornológicos).

open access: yes, 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
core  

Induced Bornological Representations of Bornological Algebras I

open access: yesInduced Bornological Representations of Bornological Algebras I
openaire   +1 more source

Set Convergences via Bornology [PDF]

open access: yesSet-Valued and Variational Analysis
This paper examines the equivalence between various set convergences, as studied in [7, 13, 22], induced by an arbitrary bornology $\mathcal{S}$ on a metric space $(X,d)$. Specifically, it focuses on the upper parts of the following set convergences: convergence deduced through uniform convergence of distance functionals on $\mathcal{S}$ ($τ_{\mathcal ...
Varun Jindal
exaly   +6 more sources

Uniform Continuity and a New Bornology for a Metric Space

open access: yesSet-Valued and Variational Analysis, 2017
In the context of functions between metric spaces, continuity is preserved by uniform convergence on the bornology of relatively compact subsets while Cauchy continuity is preserved under uniform convergence on the bornology of totally bounded subsets ...
Gerald Beer, M Isabel Garrido
exaly   +2 more sources
Some of the next articles are maybe not open access.

The bornology of cofinally complete subsets

open access: yesActa Mathematica Hungarica, 2011
Gerald Beer, Giuseppe di Maio
exaly   +2 more sources

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