Results 1 to 10 of about 28 (28)
On Bishop–Phelps and Krein–Milman Properties
Mathematics, 2023 A real topological vector space is said to have the Krein–Milman property if every bounded, closed, convex subset has an extreme point. In the case of every bounded, closed, convex subset is the closed convex hull of its extreme points, then we say that ...
Francisco Javier García-Pacheco
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A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces
Journal of New Theory, 2023 This paper contains the equivalence between tvs-G cone metric and G-metric using a scalarization function $\zeta_p$, defined over a locally convex Hausdorff topological vector space. This function ensures that most studies on the existence and uniqueness
Tarapada Bag, Abhishikta Das
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Axioms, 2022 We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials).
Helge Glöckner
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Non-Linear Inner Structure of Topological Vector Spaces
Mathematics, 2021 Inner structure appeared in the literature of topological vector spaces as a tool to characterize the extremal structure of convex sets. For instance, in recent years, inner structure has been used to provide a solution to The Faceless Problem and to ...
Francisco Javier García-Pacheco +3 more
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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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Unitary representability of free abelian topological groups
Applied General Topology, 2008 For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.
Vladimir V. Uspenskij
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On Sub Convexlike Optimization Problems
Mathematics, 2023 In this paper, we show that the sub convexlikeness and subconvexlikeness defined by V. Jeyakumar are equivalent in locally convex topological spaces. We also deal with set-valued vector optimization problems and obtained vector saddle-point theorems and ...
Renying Zeng
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Barrelled Weakly Köthe–Orlicz Summable Sequence Spaces
Mathematics, 2023 Let E be a Hausdorff locally convex space. We investigate the space Λφ[E] of weakly Köthe–Orlicz summable sequences in E with respect to an Orlicz function φ and a perfect sequence space Λ.
Issam Aboutaib +2 more
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International Journal of Mathematics and Mathematical Sciences, 1981 A Mazur space is a locally convex topological vector space X such that every fϵXs is continuous where Xs is the set of sequentially continuous linear functionals on X; Xs is studied when X is of the form C(H), H a topological space, and when X is the ...
Albert Wilansky
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Weak upper topologies and duality for cones [PDF]
Logical Methods in Computer Science, 2015 In functional analysis it is well known that every linear functional defined on the dual of a locally convex vector space which is continuous for the weak topology is the evaluation at a uniquely determined point of the given vector space. M.
Klaus Keimel
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