Ball-complete sets and solar properties of sets in asymmetric spaces

DOI10.1007/s00025-022-01619-2zbMath1506.46016OpenAlexW4214845359MaRDI QIDQ2114992

I. G. Tsar'kov, Alexey R. Alimov

Publication date: 15 March 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-022-01619-2

zbMATH Keywords

asymmetric normed spacesunalmost sunasymmetric Efimov-Stechkin spaceprotosun\( \mathring{B} \)-complete set\(B\)-connected setball-complete setlocally uniformly convex asymmetric space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)

Related Items (12)

Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces ⋮ Some classical problems of geometric approximation theory in asymmetric spaces ⋮ Solarity and proximinality in generalized rational approximation in spaces \(C(Q)\) and \(L^p\) ⋮ 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 ⋮ Chebyshev sets with piecewise continuous metric projection ⋮ Chebyshev unions of planes, and their approximative and geometric properties ⋮ Strict protosuns in asymmetric spaces of continuous functions ⋮ Unnamed Item

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