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TOPOLOGICAL DECOMPOSITIONS OF THE DUALS OF LOCALLY CONVEX VECTOR SEQUENCE SPACES
Quaestiones Mathematicae, 1985ABSTRACT 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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On the Density of Henig Efficient Points in Locally Convex Topological Vector Spaces
Journal of Optimization Theory and Applications, 2014Let \((X,\tau_0)\) 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.
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Super Efficiency for a Vector Equilibrium in Locally Convex Topological Vector Spaces
2000This 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
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Introduction to Locally Convex Topological Vector Spaces and Dual Pairs
1984The 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 +2 more
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The space of vector‐valued integrable functions under certain locally convex topologies
Mathematische Nachrichten, 2012AbstractLet 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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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.
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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.
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Bridging Classical and Contemporary Duality in Locally Convex Topological Vector Spaces
International Journal of Research and Scientific InnovationThis 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 +2 more
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Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Multifunctional biomolecule nanostructures for cancer therapy
Nature Reviews Materials, 2021Jing Wang, Yiye Li, Guangjun Nie
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