Results 31 to 40 of about 579 (94)
Closed graph theorems for bornological spaces
, 2015 The aim of this paper is that of discussing Closed Graph Theorems for bornological vector spaces in a way which is accessible to non-experts. We will see how to easily adapt classical arguments of functional analysis over $\mathbb{R}$ and $\mathbb{C}$ to
Bambozzi, Federico
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On \(\beta\)-differentiability of norms
Journal of Numerical Analysis and Approximation Theory, 2004 In this note we give some characterizations for the differentiability with respect to a bornology of a continuous convex function. The special case of seminorms is treated.
Valeriu Anisiu
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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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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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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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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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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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Higher spectral flow and an entire bivariant JLO cocycle
, 2012 Given a smooth fibration of closed manifolds and a family of generalised Dirac operators along the fibers, we define an associated bivariant JLO cocycle. We then prove that, for any $\ell \geq 0$, our bivariant JLO cocycle is entire when we endow smoooth
Benameur, Moulay-Tahar, Carey, Alan L.
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Homotopy theory with bornological coarse spaces
, 2020 We propose an axiomatic characterization of coarse homology theories defined on the category of bornological coarse spaces. We construct a category of motivic coarse spectra.
Bunke, Ulrich, Engel, Alexander
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