Local solarity of suns in normed linear spaces

DOI10.1007/s10958-014-1726-1zbMath1314.46018OpenAlexW2012648916MaRDI QIDQ743561

Alexey R. Alimov

Publication date: 25 September 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-1726-1

zbMATH Keywords

sunfinite-dimensional \((BM)\)-spaceintersections of sunssolarity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (4)

Continuity of the metric projection and local solar properties of sets. Continuity of the metric projection and local solar properties of sets, continuity of the metric projection and solar properties ⋮ Selections of the best and near-best approximation operators and solarity ⋮ Selections of the metric projection operator and strict solarity of sets with continuous metric projection ⋮ Bounded contractibility of strict suns in three-dimensional spaces

Cites Work

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• Monotone path-connectedness of Chebyshev sets in the space $ C(Q)$
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• COMBINATORIAL GEOMETRY AND CONVEXITY CLASSES
• Weak star separability
• Closed spans in vector-valued function spaces and their approximative properties
• Preservation of approximative properties of subsets of Chebyshev sets and suns in $ \ell^\infty (n)$

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