Results 31 to 40 of about 600 (109)
Well-posedness, bornologies, and the structure of metric spaces
Applied General Topology, 2009 Given a continuous nonnegative functional λ that makes sense defined on an arbitrary metric space (X, d), one may consider those spaces in which each sequence (xn) for which lim n→∞λ(xn) = 0 clusters. The compact metric spaces, the complete metric spaces,
Gerald Beer, Manuel Segura
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Functional boundedness of balleans
, 2019 We pose some open problems related to boundedness of real-valued functions on balleans and coarse spaces. Also we prove that the Bergman property of groups is a coarse invariant.
Banakh, Taras, Protasov, Igor
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Real Functions, Covers and Bornologies
Tatra Mountains Mathematical Publications, 2021 Abstract The paper tries to survey the recent results about relationships between covering properties of a topological space X and the space USC(X) of upper semicontinuous functions on X with the topology of pointwise convergence. Dealing with properties of continuous functions C(X), we need shrinkable covers.
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Multivalued Usco Functions and Stegall Spaces
Revista de Ciencias, 2018 In this article we consider the study of the -differentiability and -ifferentiability for convex functions, not only in the general context of topological vector spaces (), but also in the context of Banach spaces.
Diana Ximena Narváez
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A convenient setting for real analytic mappings
, 1989 We present here "the" cartesian closed theory for real analytic mappings. It is based on the concept of real analytic curves in locally convex vector spaces.
Andreas Kriegl +2 more
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Journal of Mathematical Analysis and Applications, 2004 The authors consider some special topologies of hyperspaces based on so-called bornologies. A bornology on a set \(X\) is a family \(\mathcal S\) of subsets of \(X\) such that: \(\mathcal S\) is a cover of \(X\), \(\mathcal S\) is closed under subsets and \(\mathcal S\) is closed under finite unions.
Lechicki, A, LEVI, SANDRO, Spakowski, A.
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Product metrics and boundedness
Applied General Topology, 2008 This paper looks at some possible ways of equipping a countable product of unbounded metric spaces with a metric that acknowledges the boundedness characteristics of the factors.
Gerald Beer
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Functional analysis on two-dimensional local fields
, 2013 We establish how a two-dimensional local field can be described as a locally convex space once an embedding of a local field into it has been fixed. We study the resulting spaces from a functional analytic point of view: in particular we study bounded, c-
Camara, Alberto
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Journal of Physics: Conference Series, 2019 Abstract The motivation for this work is to find the sufficient conditions to bornologize any group and solve the problem of boundedness for any group, by constructing new structure semi bornological groups. In particular, we show that every left (right) translations in semi bornological groups are bornological isomorphisms and therefore
Anwar N. Imran, Sh. K. Said Husain
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Extensions and Applications of Locally Solid Convergence Structures
MathematicsLocally solid convergence structures provide a unifying framework for both topological and non-topological convergences in vector lattice theory. In this paper, we explore various extensions and applications of locally solid convergence structures.
Saeed Hashemi Sababe
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