An example of non-approximatively-compact existence set with finite-valued metric projection

DOI10.1134/S0001434609070189zbMath1190.41016OpenAlexW1985021324MaRDI QIDQ736219

I. A. Pyatyshev, P. A. Borodin

Publication date: 27 October 2009

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

Full work available at URL: https://doi.org/10.1134/s0001434609070189

zbMATH Keywords

Banach latticeHilbert spacemetric projectionapproximatively compact setexistence setsymmetric Schauder basis

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (1)

A remark on the stability of approximative compactness

Cites Work

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• Chebyshev subspaces of \(L^ 1\) with linear metric projection
• Geometrical characterizations for nonlinear uniform approximation
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• Chebyshev Sets in C[0,1 Which are not Suns]

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