Convex values and Lipschitz behavior of the complete hull mapping

DOI10.1090/S0002-9947-10-05142-1zbMath1202.46027OpenAlexW2006769301MaRDI QIDQ3574779

José Pedro Moreno

Publication date: 2 July 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-10-05142-1

zbMATH Keywords

\(C(K)\) spacediametrically maximal setconstant width setcomplete hull mapping

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Geometry and structure of normed linear spaces (46B20) Banach spaces of continuous, differentiable or analytic functions (46E15) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (2)

Complete sets in normed linear spaces ⋮ Some geometry of convex bodies in \(C(K)\) spaces

Cites Work

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• Continuity properties of the ball hull mapping
• On complete convex bodies
• Points of symmetry of convex sets in the two-dimensional complex space -- a counterexample to D. Yost's problem
• Porosity and diametrically maximal sets in \(C(K)\)
• Sets of constant width in finite dimensional Banach spaces
• Excursions into combinatorial geometry
• Banach spaces which are proper M-ideals
• Diametrically Maximal and Constant Width Sets in Banach Spaces
• Semicontinuous functions and convex sets inC(K)spaces
• SETS OF CONSTANT WIDTH AND INEQUALITIES
• Properly semi-L-embedded complex spaces
• Bodies of constant width in arbitrary dimension
• Banach spaces which are semi-L-summands in their biduals

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