Descriptive theory of nearest points in Banach spaces

zbMath1264.46009MaRDI QIDQ1928873

Robert P. Kaufman

Publication date: 4 January 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1336049988

zbMATH Keywords

Banach spacebest approximationrenormingproximinalityanalytic setlocally uniformly rotund norm

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Cites Work

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• Equivalent norms on spaces of bounded functions
• An extension of a result of Ribe
• On nonlinear projections in Banach spaces
• Strict Convexity and Smoothness of Normed Spaces
• l ∞ /c 0 has no Equivalent Strictly Convex Norm
• Uniform equivalence between Banach spaces
• Lipschitz-free Banach spaces
• Mappings Between Function Spaces

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