Compactness in asymmetric normed spaces

DOI10.1016/j.topol.2007.11.004zbMath1142.46004OpenAlexW1981029817MaRDI QIDQ2474463

I. Ferrando, Enrique Alfonso Sánchez-Pérez, Carmen Alegre Gil, Lluís Miquel Garcia Raffi

Publication date: 6 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.11.004

zbMATH Keywords

compactnessasymmetric normed linear spacenon-symmetric topology

Mathematics Subject Classification ID

Compactness in Banach (or normed) spaces (46B50) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (16)

Extreme points and geometric aspects of compact convex sets in asymmetric normed spaces ⋮ The Goldstine theorem for asymmetric normed linear spaces ⋮ Asymmetric norms given by symmetrisation and specialisation order ⋮ Local compactness in right bounded asymmetric normed spaces ⋮ The uniform boundedness theorem in asymmetric normed spaces ⋮ Completeness, precompactness and compactness in finite-dimensional asymmetrically normed lattices ⋮ Separation axioms and covering dimension of asymmetric normed spaces ⋮ A characterization of completeness via absolutely convergent series and the Weierstrass test in asymmetric normed semilinear spaces ⋮ Asymmetric norms and optimal distance points in linear spaces ⋮ Asymmetric norms, cones and partial orders ⋮ Computing optimal distances to Pareto sets of multi-objective optimization problems in asymmetric normed lattices ⋮ On statistical convergence in quasi-metric spaces ⋮ On the spaces of linear operators acting between asymmetric cone normed spaces ⋮ Compact and precompact sets in asymmetric locally convex spaces ⋮ Compact convex sets in 2-dimensional asymmetric normed lattices ⋮ Continuous operators on asymmetric normed spaces

Cites Work

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• Semi-Lipschitz functions and best approximation in quasi-metric spaces
• The Smyth Completion
• Separation of Convex Sets and Best Approximation in Spaces with Asymmetric Norm
• The Dual Space of an Asymmetric Normed Linear Space
• On the structure of the complements of Chebyshev sets

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