Three kinds of dentabilities in Banach spaces and their applications

DOI10.1007/s10473-024-0204-1MaRDI QIDQ6192408

Zi Hou Zhang, Jing Zhou

Publication date: 11 March 2024

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

extreme pointreflexivityapproximatively weak compactnessvery smooth space\(w\)-strong proximinalitynearly weak dentabilitypoint of weak*-weak continuityweak*-weak denting point

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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• Some examples concerning proximinality in Banach spaces
• Geometry of Banach spaces. Selected topics
• Approximate compactness in Orlicz spaces
• The representations and continuity of the metric projections on two classes of half-spaces in Banach spaces
• Strong proximinality of closed convex sets
• Proximinality in Banach spaces
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• Nearly dentability and approximative compactness and continuity of metric projector in Banach spaces
• Characterization of approximative compactness in Banach spaces
• Strong proximinality and polyhedral spaces

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