An approximation property and the sphere of \(L_1\)

DOI10.1006/jath.1999.3362zbMath0952.46007OpenAlexW2042984362MaRDI QIDQ1960908

Daniel Wulbert

Publication date: 17 February 2000

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1999.3362

zbMATH Keywords

spaces of continuous functionsuniformly convex spacesproperty \(P\)Mach's property

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)

Cites Work

• Best approximation of bounded functions by continuous functions
• On proximinality and sets of operators. I. Best approximation by finite rank operators
• On proximinality and sets of operators. II: Nonexistence of best approximation from the sets of finite rank operators
• On proximinality and sets of operators. III: Approximation by finite rank operators on spaces of continuous functions
• On the existence of best simultaneous approximation
• On a certain subset of \(L_ 1(\)0,1) and non-existence of best approximation in some spaces of operators
• Best simultaneous of bounded functions with values in certain Banach spaces
• \(L_1\) spaces fail a certain approximative property
• Approximation by continuous vector valued functions

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