Extreme points and geometric aspects of compact convex sets in asymmetric normed spaces

DOI10.1016/j.topol.2015.12.071zbMath1344.46006arXiv1404.0500OpenAlexW2964234751MaRDI QIDQ266298

Natalia Jonard-Pérez, Enrique Alfonso Sánchez-Pérez

Publication date: 13 April 2016

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

Full work available at URL: https://arxiv.org/abs/1404.0500

zbMATH Keywords

extreme pointconvex setcompact setasymmetric normed space

Mathematics Subject Classification ID

Compactness in Banach (or normed) spaces (46B50) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (5)

Local compactness in right bounded asymmetric normed spaces ⋮ Separation axioms and covering dimension of asymmetric normed spaces ⋮ Computing optimal distances to Pareto sets of multi-objective optimization problems in asymmetric normed lattices ⋮ Unnamed Item ⋮ The weak topology in finite dimensional asymmetric normed spaces

Cites Work

• Unnamed Item
• Completeness, precompactness and compactness in finite-dimensional asymmetrically normed lattices
• Extremal structure of convex sets
• Compactness and finite dimension in asymmetric normed linear spaces
• Sequence spaces and asymmetric norms in the theory of computational complexity.
• Compactness in asymmetric normed spaces
• Functional Analysis in Asymmetric Normed Spaces
• Compact convex sets in 2-dimensional asymmetric normed lattices

This page was built for publication: Extreme points and geometric aspects of compact convex sets in asymmetric normed spaces