An ergodic measure on a locally convex topological vector space
Journal of Functional Analysis, 1981 AbstractThe aim of this paper is to give a way to construct a probability measure with nice ergodic properties on a locally convex topological vector space. We have two motivations; one is to give a generalization of a Gaussian measure and the other is to give an example of a probability measure with a rich kernel space.
H. Sato
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Piecewise Linear Vector Optimization Problems on Locally Convex Hausdorff Topological Vector Spaces [PDF]
Acta Mathematica Vietnamica, 2017 Piecewise linear vector optimization problems in a locally convex Hausdorff topological vector spaces setting are considered in this paper. The efficient solution set of these problems are shown to be the unions of finitely many semi-closed generalized polyhedral convex sets.
Nguyen Ngoc Luan
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Generalized quasi-variational inequalities in locally convex topological vector spaces
Journal of Mathematical Analysis and Applications, 1985 Let E be a Hausdorff topological vector space and X an arbitrary nonempty subset of E. Given a point-to-set map S: \(X\to 2^ X\) and a point-to-set map T: \(X\to 2^{E'}\) (where E' is the dual space of E with the pairing (w,x) for \(w\in E'\) and \(x\in X)\), the generalized quasivariational inequality problem (GQVI) is to find a point \(y^*\in S(y^*)\)
Kok-Keong Tan, Mau-Hsiang Shih
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On embedding a compact convex set into a locally convex topological vector space [PDF]
Pacific Journal of Mathematics, 1976 Jamison, R. E. +2 more
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Denjoy-type Integrals in Locally Convex Topological Vector Space
European Journal of Pure and Applied Mathematics, 2021 In this paper, we introduce AC* and ACG*-type properties and then, using theseconditions along with other concepts, define two Denjoy-type integrals of a function with values in a locally convex topological vector space (LCTVS). We show, among others, that these newly defined integrals are included in the SH integral, a stronger version of the Henstock
Rodolfo Erodias Maza +1 more
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A remark on Ekeland's principle in locally convex topological vector spaces
Mathematical and Computer Modelling, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CAMMAROTO, Filippo +2 more
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Carathéodory–Fejér interpolation in locally convex topological vector spaces
Linear Algebra and its Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alpay, Daniel +2 more
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Infinitely divisible characteristic functionals on locally convex topological vector spaces [PDF]
Pacific Journal of Mathematics, 1970 B. Rao
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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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