Results 21 to 30 of about 41,112 (147)
A characterization of singular endomorphisms of a barrelled Pták space
International Journal of Mathematics and Mathematical Sciences, 1982 The concept of topological divisor of zero has been extended to endomorphisms of a locally convex topological vector space (LCTVS). A characterization of singular endomorphisms, similar to that of Yood [1], is obtained for endomorphisms of a barrelled ...
Damir Franekić
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Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]
, 2015 In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Bogfjellmo, Geir +2 more
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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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Farkas-Type Results for Vector-Valued Functions with Applications [PDF]
, 2017 The main purpose of this paper consists of providing characterizations of the inclusion of the solution set of a given conic system posed in a real locally convex topological space into a variety of subsets of the same space defined by means of vector ...
A Khan +26 more
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Webbed spaces, double sequences, and the Macke convergence condition
International Journal of Mathematics and Mathematical Sciences, 1999 In [3], Gilsdorf proved, for locally convex spaces, that every sequentially webbed space satisfies the Mackey convergence condition. In the more general frame of topological vector spaces, this theorem and its inverse are studied. The techniques used are
Armando García-Martínez
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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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Optimal approximate fixed point results in locally convex spaces
, 2012 Let $C$ be a convex subset of a locally convex space. We provide optimal approximate fixed point results for sequentially continuous maps $f\colon C\to\bar{C}$. First we prove that if $f(C)$ is totally bounded, then it has an approximate fixed point net.
Arino +19 more
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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.
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Locally convex approach spaces
Applied General Topology, 2003 We continue the investigation of suitable structures for quantified functional analysis, by looking at the notion of local convexity in the setting of approach vector spaces as introduced in [6].
M. Sioen, S. Verwulgen
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On a Certain Generalized Functional Equation for Set-Valued Functions
Mathematics, 2020 The aim of the paper is to generalize results by Sikorska on some functional equations for set-valued functions. In the paper, a tool is described for solving a generalized type of an integral-functional equation for a set-valued function F:X→cc(Y ...
Yaroslav Bazaykin +3 more
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