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Diameter two properties and polyhedrality

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Publication:1736971
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DOI10.1007/s13398-017-0458-8zbMath1416.46013arXiv1703.03647OpenAlexW2618363721MaRDI QIDQ1736971

Ginés López-Pérez, Abraham Rueda Zoca

Publication date: 26 March 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03647


zbMATH Keywords

polyhedral Banach spacesslicesdiameter two property


Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)


Related Items (3)

Polyhedral points, QP-points and Q-points ⋮ On Daugavet indices of thickness ⋮ Diameter two properties in some vector-valued function spaces



Cites Work

  • Extreme differences between weakly open subsets and convex combinations of slices in Banach spaces
  • Diameter two properties, convexity and smoothness
  • \(M\)-ideals in Banach spaces and Banach algebras
  • Big slices versus big relatively weakly open subsets in Banach spaces
  • Infinite-Dimensional Polyhedrality
  • The big slice phenomena in M-embedded and L-embedded spaces
  • Functional analysis and infinite-dimensional geometry


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