Results 151 to 160 of about 33,771 (188)

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
openaire   +1 more source

Variational inequalities in locally convex Hausdorff topological vector spaces

Archiv der Mathematik, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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
openaire   +1 more source

On the Density of Henig Efficient Points in Locally Convex Topological Vector Spaces

Journal of Optimization Theory and Applications, 2014
Let \((X,\tau_0)\) be a Hausdorff locally convex space over \(\mathbb R\) with dual \(X^*\) and \(\tau\subset \tau_0\) another Hausdorff locally convex topology on \(X\), compatible with the duality \((X,X^*)\) and \(C\) a (not necessarily convex) cone in \(X\).
Newhall, Joseph, Goodrich, Robert K.
openaire   +2 more sources

Super Efficiency for a Vector Equilibrium in Locally Convex Topological Vector Spaces

2000
This paper deals with the vector equilibrium problem. The concept of super efficiency for vector equilibrium is introduced. A scalar characterization of super efficient solution for vector equilibrium is given. By using of the scalarization result, we discuss the connectedness of super efficient solutions set to the vector equilibrium problems in ...
Xun Hua Gong, Wan Tao Fu, Wei Liu
openaire   +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
openaire   +1 more source

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.
openaire   +2 more sources

COMPACT FAMILIES OF LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES, FRÉCHET-SCHWARTZ AND DUAL FRÉCHET-SCHWARTZ SPACES

Russian Mathematical Surveys, 1979
ContentsIntroduction § 1. Projective spectra of LCS § 2. Inductive spectra of LCS § 3. Families of LCS subspaces § 4. Duality in families of LCS subspaces § 5. Examples § 6. Real analytic functionals § 7. Fourier hyperfunctions § 8.
openaire   +1 more source

Bridging Classical and Contemporary Duality in Locally Convex Topological Vector Spaces

International Journal of Research and Scientific Innovation
This paper delves into the intricate relationship between various specialized classes of locally convex topological vector spaces and their corresponding duality theory. Building upon the foundational contributions of pioneering mathematicians in functional analysis, this work aims to provide a deeper understanding of the structural properties and ...
Dilip Kumar Sah, Mukesh Kumar Pal, Raj Kumar   +2 more
openaire   +1 more source

Viral vector platforms within the gene therapy landscape

Signal Transduction and Targeted Therapy, 2021
Phillip W L Tai, Guangping Gao
exaly