Results 61 to 70 of about 287,361 (225)
The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis
Mathematics, 2015 An account of the Schwartz space of rapidly decreasing functions as a topological vector space with additional special structures is presented in a manner that provides all the essential background ideas for some areas of quantum mechanics along with ...
Jeremy Becnel, Ambar Sengupta
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An order topology in ordered topological vector spaces [PDF]
Transactions of the American Mathematical Society, 1976 An order topology Ω \Omega that can be defined on any partially-ordered space has as its closed sets those that contain the (o)-limits of all their (o)-convergent nets. In this paper we study the situation in which a topological vector space with a Schauder basis is ordered by the basis cone. In a Fréchet space (
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Fixed Point in Topological Vector Space-Valued Cone Metric Spaces
Fixed Point Theory and Applications, 2010 We obtain common fixed points of a pair of mappings satisfying a generalized contractive type condition in TVS-valued cone metric spaces. Our results generalize some well-known recent results in the literature.
Beg Ismat, Arshad Muhammad, Azam Akbar
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Rosenthal L∞-theorem revisited
Extracta Mathematicae, 2021 A remarkable Rosenthal L∞-theorem is extended to operators T : L∞(Γ, E) → F , where Γ is an infinite set, E a locally bounded (for instance, normed or p-normed) space, and F any topological vector space.
L. Drewnowski
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Fixed point theorems for some generalized contractive mappings over a locally convex topological vector space [PDF]
Surveys in Mathematics and its Applications, 2021 In this paper we prove some useful fixed point theorems and common fixed point theorems for a class of non-linear mappings acting on locally convex topological vector space with supporting ...
Sayantan Panja +2 more
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On almost \(s-\)topological vector spaces
Journal of Advanced Studies in Topology, 2018 In this paper, we introduce the notion of almost \(s-\)topological vector spaces and present some examples and counterexamples of almost \(s-\)topological vector spaces. Some general properties of almost \(s-\)topological vector spaces are investigated.
Sahil Billawria +3 more
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Bounded sets in topological vector spaces [PDF]
Mathematische Annalen, 1996 We study the relationship between the collection of bounded subsets of a metrizable topological vector space and various orderings on \(\mathbb{N}^{\mathbb{N}}\) related to the ordering of eventual dominance. This leads to a characterization of normability in metrizable topological vector sapces of large density in terms of the density of their bounded
Burke, Maxim R., Todorcevic, Stevo
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New Generalization of -Best Simultaneous Approximation in Topological Vector Spaces
Abstract and Applied Analysis, 2013 Let be a nonempty subset of a Hausdorff topological vector space , and let be a real-valued continuous function on . If for each , there exists such that , then is called -simultaneously proximal and is called -best simultaneous approximation for ...
Mahmoud Rawashdeh, Sarah Khalil
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Constrained Minimization Under Vector-Valued Criteria in Linear Topological Spaces [PDF]
Constrained minimization under vector valued criteria in linear topological ...
Da Cunha, N. O., Polak, E.
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Sequential convergence in topological vector spaces
Topology and its Applications, 2000 \(E\) est un espace vectoriel localement convexe et séparé sur \(R\) où \(C\), et \(\tau\) sa topologie. Les AA. demontrent l'équivalence des propriétés suivantes: (i) \(\tau\) est la plus fine des topologies admettant les mêmes suites convergeant vers 0 (on dit, alors, que \(F\) est séquentiellement maximal); (ii) est continue toute application ...
I. Morales +2 more
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