Compact and precompact sets in asymmetric locally convex spaces

DOI10.1016/J.TOPOL.2009.01.004zbMath1185.46001OpenAlexW2072986903MaRDI QIDQ1019137

Ştefan Cobzaş

Publication date: 28 May 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2009.01.004

zbMATH Keywords

compactnesstotal boundednessprecompactnessquasi-metric spacesasymmetric locally convex spacesquasi-uniform spacesspaces with asymmetric norm

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Uniform structures and generalizations (54E15) General theory of locally convex spaces (46A03) Semimetric spaces (54E25) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (6)

The strict topology for the space of Radon measures on a locally compact Hausdorff space ⋮ The scale of a quasi-uniform space ⋮ Completeness in quasi-metric spaces and Ekeland variational principle ⋮ \(Q\)-functions on quasimetric spaces and fixed points for multivalued maps ⋮ Characterizations of metrizable topological vector spaces and their asymmetric generalizations in terms of fuzzy (quasi-)norms ⋮ On the uniform boundedness theorem in fuzzy quasi-normed spaces

Cites Work

• Compactness and finite dimension in asymmetric normed linear spaces
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• Cauchy sequences in quasi-pseudo-metric spaces
• C-complete quasi-uniform spaces
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• Semi-Lipschitz functions and best approximation in quasi-metric spaces
• Asymmetric locally convex spaces
• Compactness in asymmetric normed spaces
• Properties of the normed cone of semi-Lipschitz functions
• Uniform structures in the beginning of the third millenium
• Bitopological Spaces
• On Precompact (Quasi-) Uniform Structures
• An Introduction to Banach Space Theory
• Separation of Convex Sets and Best Approximation in Spaces with Asymmetric Norm
• The Dual Space of an Asymmetric Normed Linear Space
• Completeness in quasi-uniform spaces
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