On suns and cosuns in finite dimensional normed real vector spaces

DOI10.1007/BF01955023zbMath0592.41043OpenAlexW2061521814MaRDI QIDQ1075545

L. Hetzelt

Publication date: 1985

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01955023

zbMATH Keywords

best coapproximationco-Chebyshev setcosun

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items

Finite-dimensional spaces where the class of Chebyshev sets coincides with the class of closed and monotone path-connected sets, Cosuns in \(\ell ^ p(n)\), \(1\leq p<\infty \)., Some remarks on contractive and existence sets, Three-dimensional spaces where all bounded Chebyshev sets are monotone path connected, Convex analysis in normed spaces and metric projections onto convex bodies, Block-iterative algorithms for solving convex feasibility problems in Hilbert and in Banach spaces, Coproximinality in the space of bounded functions, Contractive projections on \(\ell^ 1\), On best coapproximation in normed linear spaces, Optimal and one-complemented subspaces, Preservation of approximative properties of Chebyshev sets and suns in a plane, Unnamed Item, Orthogonality in Generalized Minkowski Spaces, The geometry of Minkowski spaces -- a survey. II., Existence sets of best coapproximation and projections of norm one

Cites Work

• Unnamed Item
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• Continuous selections. I
• Über die beste Approximation im \({\mathbb{R}}^ n\)
• Best coapproximation in normed linear spaces
• Über kennzeichnende Eigenschaften von Ellipsoiden und euklidischen Räumen. III
• Fixpunktmengen von Kontraktionen in endlichdimensionalen normierten Räumen
• Points minimaux et ensembles optimaux dans les espaces de Banach
• Nonexpansive projections on subsets of Banach spaces
• Contractive projections in \(L_ p\)-spaces
• The foundations of Minkowskian geometry
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• Classes of Semi-Inner-Product Spaces
• Über die Erzeugung von Darstellungen von Gruppen durch Darstellungen von Untergruppen