Near convexity, near smoothness and approximative compactness of half spaces in Banach spaces

DOI10.1007/s10114-016-4763-5zbMath1351.46016OpenAlexW2315945847MaRDI QIDQ287976

Chun Yan Liu, Zi Hou Zhang, Yu Zhou

Publication date: 23 May 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-4763-5

zbMATH Keywords

half-spaceapproximative compactnessnearly strongly convex spacenearly very convex spaceproperty Sproperty WS

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

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Some equivalent conditions of proximinality in nonreflexive Banach spaces ⋮ Some metric and topological properties of nearly strongly and nearly very convex spaces

Cites Work

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