The Banach-Mazur theorem for spaces with an asymmetric distance

DOI10.1070/RM2003v058n02ABEH000615zbMath1064.46067OpenAlexW1988941393MaRDI QIDQ4829600

Alexey R. Alimov

Publication date: 29 November 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2003v058n02abeh000615

zbMATH Keywords

separabilityuniversalityisomorphic embeddingmetrizabilityBanach-Mazur theoremlinear spaces with an asymmetric norm

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04) Other (nonclassical) types of functional analysis (46S99)

Related Items (15)

Uniformly and locally convex asymmetric spaces ⋮ Continuity of a metric function and projection in asymmetric spaces ⋮ \(\mathring{B}\)-complete sets: approximative and structural properties ⋮ Reflexivity for spaces with extended norm ⋮ Continuous selections of set-valued mappings and approximation in asymmetric and semilinear spaces ⋮ Density of the points of continuity of the metric function and projection in asymmetric spaces ⋮ Connectedness in asymmetric spaces ⋮ Universality theorems for asymmetric spaces ⋮ A sublinear analog of the Banach-Mazur theorem in separated convex cones with norm ⋮ Free Abelian paratopological groups over metric spaces ⋮ Coproximinality of linear subspaces in generalized Minkowski spaces ⋮ Uniform convexity in nonsymmetric spaces ⋮ Approximatively compact sets in asymmetric Efimov-Stechkin spaces and convexity of almost suns ⋮ Continuous operators on asymmetric normed spaces ⋮ Ball-complete sets and solar properties of sets in asymmetric spaces

This page was built for publication: The Banach-Mazur theorem for spaces with an asymmetric distance