Results 151 to 160 of about 38,134 (191)

Sequential Separation Theorems and S-Locally Convex Topological Vector Spaces

Mathematische Nachrichten, 1982
The Hahn-Banach theorem, when formulated in a topological vector space, gives rise to a number of 'separation' results. For example: Let (X,t) be a topological vector space (here X is our space, t our topology) over the real or complex field, let A be a non-empty, convex, open subset of X and M an affine subspace of X such that \(A\cap M=\emptyset ...
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On integration and the Radon-Nikodym theorem in quasicomplete locally convex topological vector spaces.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1977
D. Gilliam
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Certain locally convex topologies on the discrete vector-valued Lebesgue spaces

Periodica Mathematica Hungarica, 2012
Let \(A\) be a Banach algebra and \(V\) be a Banach left \(A\)-module. The strict topology on \(V\) is the locally convex topology generated by the family \(\{p_a : a\in A\}\) of semi-norms, where for \(a\in A\), \(p_a(v)=\| a.v\| \), \(v\in V\). The authors study the case of the space \(\ell^1(\Gamma,E)\), where \(\Gamma\) is a nonempty set and \(E ...
Maghsoudi, Saeid, Nasr-Isfahani, Rasoul
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Variational inequalities in locally convex Hausdorff topological vector spaces

Archiv der Mathematik, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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TOPOLOGICAL DECOMPOSITIONS OF THE DUALS OF LOCALLY CONVEX VECTOR SEQUENCE SPACES

Quaestiones Mathematicae, 1985
ABSTRACT Let Λ be a scalar sequence space which is endowed with a normal locally convex topology. For a separated locally convex space E we denote by Λ(E) the vector space of all sequences g in E for which (>g(i),a x, f(i)
Jan H Fourie, William H Ruckle
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SCHAUDER BASIS AND SEQUENCER SPACES IN GENERAL TOPOLOGICAL VECTOR SPACES

Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)
Minkowski functionals of balanced neighbourhoods of zero are used to define sequence spaces in which sequences are sequences in general non locally convex topological vector spaces.
C. G. Moorthy, I. R. Saminathan
semanticscholar   +1 more source

On abstract economies with an arbitrary set of players and action sets in locally-convex topological vector spaces

Journal of Mathematical Economics, 2021
R. Anderson, Haosui Duanmu, M. A. Khan, M. Uyanik   +3 more
semanticscholar   +1 more source

Introduction to Locally Convex Topological Vector Spaces and Dual Pairs

1984
The purpose of this chapter is to provide a quick introduction to some of the basic aspects of the theory of topological vector spaces. Various versions of the Hahn-Banach theorem will be used later in the book and the exposition therefore centers around a fairly detailed treatment of these fundamental results.
Christian Berg, Jens Peter Reus Christensen, Paul Ressel   +2 more
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The space of vector‐valued integrable functions under certain locally convex topologies

Mathematische Nachrichten, 2012
AbstractLet E be a Banach space, Ω a locally compact space, and μ a positive Radon measure on Ω. In this paper, through extending to Lebesgue‐Bochner spaces, we show that the topology β1 introduced by Singh is a type of strict topology. We then investigate various properties of this locally convex topology.
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A Benson-type algorithm for bounded convex vector optimization problems with vertex selection

Optimization Methods and Software, 2022
Daniel Dörfler, Andreas Löhne, Christopher Schneider   +2 more
exaly