Weak and norm convergence on the unit sphere

DOI10.1216/rmjm/1181072630zbMath0797.46012OpenAlexW1997382255MaRDI QIDQ1801944

Juan Ramón Torregrosa Sánchez

Publication date: 10 October 1994

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072630

zbMATH Keywords

Kadec-Klee propertyKadec propertyBanach products of \(\ell^ p\) type

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Duality and reflexivity in normed linear and Banach spaces (46B10)

Cites Work

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• On a property of the norm which is close to locally uniform rotundity
• Banach spaces which are nearly uniformly convex
• Drop property equals reflexivity
• Some recent discoveries in the isomorphic theory of Banach spaces
• On locally uniformly convex and differentiable norms in certain non-separable Banach spaces
• Banach sequence spaces

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