Some generalizations of locally uniform rotundity

DOI10.1006/jmaa.2000.7169zbMath0978.46004OpenAlexW2090515955MaRDI QIDQ1840549

Da Huang, Pradipta Bandyopadhyay, Stanimir Troyanski, Bor-Luh LIn

Publication date: 15 January 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7169

zbMATH Keywords

rotund point\(\sigma\)-fragmentable Banach spaceweakly almost locally uniformly rotund norm

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Isometric theory of Banach spaces (46B04) Nonseparable Banach spaces (46B26)

Related Items (14)

Locally uniformly rotund points in convex-transitive Banach spaces ⋮ Some equivalent conditions of proximinality in nonreflexive Banach spaces ⋮ Topological modules geometry ⋮ Convexities and existence of the farthest point ⋮ Convexity and proximinality in Banach space ⋮ Some questions about rotundity and renormings in Banach spaces ⋮ Continuity of generalized metric projections in Banach spaces ⋮ Geometric properties and continuity of the pre-duality mapping in Banach space ⋮ Proximinality in Banach spaces ⋮ Some generalizations of locally and weakly locally uniformly convex space ⋮ Convexity and smoothness of Banach spaces with numerical index one ⋮ Ball remotality in Banach spaces ⋮ Strong Proximinality in Metric Spaces ⋮ Residuality in the set of norm attaining operators between Banach spaces

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