Some geometric and topological properties of the unit ball in Banach spaces

DOI10.1007/BF01458596zbMath0770.46004OpenAlexW2039573563MaRDI QIDQ5919857

Stanimir Troyanski, Pei-Kee Lin, Bor-Luh LIn

Publication date: 18 August 1993

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164121

zbMATH Keywords

denting point of the unit ballrotund and the weak topology and the normal topology coincide on the unit sphere

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items

Average locally uniform rotundity and a class of nonlinear maps, On the extremal structure of the unit balls of Banach spaces of weakly continuous functions and their duals, Property \((H)\) in Köthe-Bochner spaces, Some geometric properties of sequence spaces involving lacunary sequence, Existence and uniqueness of best proximity points in geodesic metric spaces, Characterizations of Denting Points, Norm attaining Lipschitz maps toward vectors

Cites Work

• Some geometric properties of the spheres in a normed linear space
• On a property of the norm which is close to locally uniform rotundity
• Some examples concerning rotundity in Banach spaces
• Property (H) in Lebesgue-Bochner Function Spaces
• Denting Points in Bochner L p -Spaces
• Rotundity in Lebesgue-Bochner Function Spaces