Extreme points and the diameter norm

DOI10.1216/RMJM/1181069802zbMath1073.46016OpenAlexW2022987474MaRDI QIDQ1767346

Manuel Sanchis, Juan J. Font

Publication date: 10 March 2005

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

Full work available at URL: https://doi.org/10.1216/rmjm/1181069802

zbMATH Keywords

extreme pointsspaces of continuous functionsdiameter norm

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach spaces of continuous, differentiable or analytic functions (46E15) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (4)

Diameter preserving maps on function spaces ⋮ Unique decomposition property and extreme points ⋮ On 2-local diameter-preserving maps between \(C(X)\)-spaces ⋮ Nonlinear diameter preserving maps on function spaces

Cites Work

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• Diameter preserving linear bijections of \(C(X)\)
• A characterization of locally compact spaces with homeomorphic one-point compactifications
• Diameter preserving linear maps and isometries
• Diameter-preserving linear bijections of function spaces
• Maximal norms on Banach spaces of continuous functions. A Corrigendum to Kalton and Wood's ‘Orthonormal systems in Banach spaces and their applications’
• A Choquet Boundary for the Product of Two Compact Spaces
• An Intersection Property for State Spaces

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