A monotone path connected Chebyshev set is a sun

DOI10.1134/S0001434612010294zbMath1285.41018MaRDI QIDQ2435938

Alexey R. Alimov

Publication date: 21 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

best approximationChebyshev setsunpath connected setmonotone curve

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52)

Related Items (5)

Connectedness and other geometric properties of suns and Chebyshev sets ⋮ \(\mathring{B}\)-complete sets: approximative and structural properties ⋮ Weakly monotone sets and continuous selection from a near-best approximation operator ⋮ Approximative properties of sets and continuous selections ⋮ Local solarity of suns in normed linear spaces

Cites Work

• Die Metrische Struktur der Sonnen in \(l_{\infty}(n)\)
• Chebychev sets which are not suns
• On the extension of continuous linear functionals and best approximation in normed linear spaces

This page was built for publication: A monotone path connected Chebyshev set is a sun