Smallness and the covering of a Banach space

DOI10.1007/s00032-012-0188-5zbMath1266.46005OpenAlexW2093721076MaRDI QIDQ1931676

Pier Luigi Papini, Jesús M. Fernandez Castillo

Publication date: 15 January 2013

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-012-0188-5

zbMATH Keywords

boundarysmall setcovering of the unit sphereisomorphically polyhedral space

Mathematics Subject Classification ID

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

Cites Work

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• Acknowledgement of priority Re: My paper ``The small ball property in Banach spaces - quantitative results [Rend. Circ. mat. Palermo, Serie II, - Suppl. 76 (2005), 3-16]
• Polyhedral Banach spaces
• Extremely weakly unconditionally convergent series
• Massiveness of the set of extreme points of the dual ball of a Banach space. Polyhedral spaces
• Almost flat locally finite coverings of the sphere
• Metric spaces with the small ball property
• Thickness of the unit sphere, $\ell_1$-types, and the almost Daugavet property
• On Covering the Unit Ball in a Banach Space
• Hausdorff dimension of Banach spaces
• Spaces of largest Hausdorff dimension
• Ultraproducts in Banach space theory.
• Infinite-Dimensional Polyhedrality
• The Size of the Unit Sphere
• On some covering properties of metric spaces
• A Simple Norm Inequality
• Some Covering Theorems for Infinite Dimensional Vector Spaces
• Generalized Hausdorff dimension

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