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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The Levi problem in non-locally convex seperable topological vector spaces.
MATHEMATICA SCANDINAVICA, 1990 The author continues his study of pseudoconvexity in a nonlocally convex space setting. Following, \textit{L. Waelbroeck} [Topological vector spaces and algebras, Lect. Notes Math. 230 (1971; Zbl 0225.46001)], let \(E\) be an \(Lps\), i.e. a locally pseudoconvex topological vector space.
Aboubakr Bayoumi
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Holomorphic functions on locally convex topological vector spaces. II. Pseudo convex domains [PDF]
Annales de l'Institut Fourier, 1973 In this article we discuss the relationship between domains of existence domains of holomorphy, holomorphically convex domains, pseudo convex domains, in the context of locally convex topological vector spaces. By using the method of Hirschowitz for Π n=1 ∞ C and the method used for Banach spaces with a basis we prove generalisations of the Cartan ...
Seán Dineen
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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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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 E. Maza, Sergio Rosales Canoy
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Mönch sets and fixed point theorems for multimaps in locally convex topological vector spaces [PDF]
Fixed Point Theory, 2017 We present a variety of fixed point theorems for multimaps having weakly closed graph. We state in turn Sadovskii, Monch and Daher type theorems which improve recent results in the literature. With this in mind, we introduce the definition of Monch-set.
Tiziana Cardinali +2 more
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On embedding a compact convex set into a locally convex topological vector space [PDF]
Pacific Journal of Mathematics, 1976 Robert E. Jamison +2 more
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Varieties of locally convex topological vector spaces [PDF]
Bulletin of the American Mathematical Society, 1971 Joseph Diestel +2 more
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$\mathfrak G$-bases in free (locally convex) topological vector spaces [PDF]
, 2016 We characterize topological (and uniform) spaces whose free (locally convex) topological vector spaces have a local $\mathfrak G$-base. A topological space $X$ has a local $\mathfrak G$-base if every point $x$ of $X$ has a neighborhood base $(U_ )_{ \in ^ }$ such that $U_ \subset U_ $ for all $ \le $ in $ ^ $. To construct $\mathfrak G$-bases
Тарас Банах, Arkady Leiderman
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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.
Hiroshi Satō
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