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A uniform geometric property of Banach spaces

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Publication:1201216
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DOI10.1216/rmjm/1181072759zbMath0788.46020OpenAlexW2084223216MaRDI QIDQ1201216

Vicente Montesinos Santalucía, Juan Ramón Torregrosa Sánchez

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1216/rmjm/1181072759


zbMATH Keywords

uniform convexitynearly uniform convexityrenorming in a uniformly convex manner


Mathematics Subject Classification ID

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


Related Items

Property \((\beta )\) implies normal structure of the dual space ⋮ Asymptotic geometry of Banach spaces and uniform quotient maps ⋮ Property \((\beta)\) and uniform quotient maps ⋮ On drop property for convex sets ⋮ Coarse quotient mappings between metric spaces ⋮ \(k\)-\(\beta\) and \(k\)-nearly uniformly convex Banach spaces ⋮ On nearly uniformly convex sets



Cites Work

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  • Banach spaces which are nearly uniformly convex
  • On ∆-uniform convexity and drop property
  • Uniformly Convex Spaces
  • Reflexive Banach spaces not isomorphic to uniformly convex spaces


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