Results 41 to 50 of about 38,134 (191)
The asymmetric sandwich theorem
, 2011 We discuss the asymmetric sandwich theorem, a generalization of the Hahn-Banach theorem. As applications, we derive various results on the existence of linear functionals that include bivariate, trivariate and quadrivariate generalizations of the Fenchel
Galin L. A. +5 more
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Abstract and Applied Analysis, 2013 The aim of this paper is to study generalized vector quasi-equilibrium problems (GVQEPs) by scalarization method in locally convex topological vector spaces.
De-ning Qu, Cao-zong Cheng
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Equilibrium points of random generalized games
International Journal of Mathematics and Mathematical Sciences, 1998 In this paper, the concepts of random maximal elements, random equilibria and random generalized games are described. Secondly by measurable selection theorem, some existence theorems of random maximal elements for Lc-majorized correspondences are ...
E. Tarafdar, Xian-Zhi Yuan
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Hypercyclic operators on topological vector spaces
, 2010 Bonet, Frerick, Peris and Wengenroth constructed a hypercyclic operator on the locally convex direct sum of countably many copies of the Banach space $\ell_1$. We extend this result.
Shkarin, Stanislav
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Maximal elements and equilibria of generalized games for 𝒰-majorized and condensing correspondences
International Journal of Mathematics and Mathematical Sciences, 1999 In this paper, we first give an existence theorem of maximal elements for a new type of preference correspondences which are 𝒰-majorized. Then some existence theorems for compact (resp., non-compact) qualitative games and generalized games in which the ...
George Xian-Zhi Yuan, E. Tarafdar
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Regularity in Topological Modules
Mathematics, 2020 The framework of Functional Analysis is the theory of topological vector spaces over the real or complex field. The natural generalization of these objects are the topological modules over topological rings.
Francisco Javier Garcia-Pacheco
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On order-bounded subsets of locally solid Riesz spaces
, 2015 In a topological Riesz space there are two types of bounded subsets: order bounded subsets and topologically bounded subsets. It is natural to ask (1) whether an order bounded subset is topologically bounded and (2) whether a topologically bounded subset
Hong, Liang
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Free Subspaces of Free Locally Convex Spaces
Journal of Function Spaces, 2018 If X and Y are Tychonoff spaces, let L(X) and L(Y) be the free locally convex space over X and Y, respectively. For general X and Y, the question of whether L(X) can be embedded as a topological vector subspace of L(Y) is difficult.
Saak S. Gabriyelyan, Sidney A. Morris
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Free vector lattices over vector spaces
, 2020 We show that free vector lattices over vector spaces can be realised in a natural fashion as vector lattices of real-valued functions. The argument is inspired by earlier work by Bleier, with some analysis in locally convex topological vector spaces ...
de Jeu, Marcel
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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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