A remark on the stability of approximative compactness

DOI10.1155/2016/2734947zbMath1347.46015OpenAlexW2293622044WikidataQ59126921 ScholiaQ59126921MaRDI QIDQ5964435

Long Fa Sun, Wen Zhang, Zheng-Hua Luo

Publication date: 29 February 2016

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/2734947

zbMATH Keywords

\(\ell_p\)-sumsapproximative \(\tau\)-compactness

Mathematics Subject Classification ID

Compactness in Banach (or normed) spaces (46B50)

Related Items (1)

On geometric and best approximation properties of \(k\)-UR and its generalizations

Cites Work

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• An example of non-approximatively-compact existence set with finite-valued metric projection
• Operations on approximatively compact sets
• Ball proximinality of equable spaces
• Existence of best approximations
• Strong proximinality of closed convex sets
• Proximinality in Banach spaces
• On the proximinality of the unit ball of proximinal subspaces in Banach spaces: A counterexample

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