Coproximinality of linear subspaces in generalized Minkowski spaces

DOI10.1016/j.jmaa.2021.125351zbMath1481.41016arXiv2101.05594OpenAlexW3034545650MaRDI QIDQ2049335

Christian Richter, Thomas Jahn

Publication date: 25 August 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.05594

zbMATH Keywords

normHilbert spaceMinkowski spacegaugebest coapproximationcoproximinal

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items (6)

Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces ⋮ \(\mathring{B}\)-complete sets: approximative and structural properties ⋮ Connectedness in asymmetric spaces ⋮ Existence, uniqueness, and stability of best and near-best approximations ⋮ Strict protosuns in asymmetric spaces of continuous functions ⋮ Ball-complete sets and solar properties of sets in asymmetric spaces

Cites Work

• Minsum location extended to gauges and to convex sets
• Semi-inner products and the concept of semi-polarity
• Affine diameters of convex bodies -- a survey
• Compactness and finite dimension in asymmetric normed linear spaces
• Best coapproximation in normed linear spaces
• Index of symmetry and topological classification of asymmetric normed spaces
• Coproximinality in the space of bounded functions
• On inner products in linear, metric spaces
• Functional Analysis in Asymmetric Normed Spaces
• Orthogonality in Generalized Minkowski Spaces
• The Banach-Mazur theorem for spaces with an asymmetric distance
• On Bisectors in Normed Spaces
• Gauge distances and median hyperplanes
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