Extreme differences between weakly open subsets and convex combinations of slices in Banach spaces

DOI10.1016/J.AIM.2014.10.007zbMath1312.46022arXiv1309.4950OpenAlexW2964350608MaRDI QIDQ475257

Ginés López-Pérez, Abraham Rueda Zoca, Julio Becerra Guerrero

Publication date: 26 November 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4950

zbMATH Keywords

Radon-Nikodým propertyrenormingslicesdiameter 2 propertyrelatively weakly open sets

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (16)

Almost square and octahedral norms in tensor products of Banach spaces ⋮ Octahedral norms in duals and biduals of Lipschitz-free spaces ⋮ On span of small combination of slices points in Banach spaces ⋮ On weakly almost square Banach spaces ⋮ The equivalence between CPCP and strong regularity under Krein-Milman property ⋮ On Daugavet indices of thickness ⋮ Diameter two properties and polyhedrality ⋮ Diametral diameter two properties in Banach spaces ⋮ \(L\)-orthogonality, octahedrality and Daugavet property in Banach spaces ⋮ Almost squareness and strong diameter two property in tensor product spaces ⋮ Diameter 2 properties and convexity ⋮ Small combination of slices, dentability and stability results of small diameter properties in Banach spaces ⋮ DAUGAVET PROPERTY IN TENSOR PRODUCT SPACES ⋮ BIDUAL OCTAHEDRAL RENORMINGS AND STRONG REGULARITY IN BANACH SPACES ⋮ Big slices versus big relatively weakly open subsets in Banach spaces ⋮ Some results on almost square Banach spaces

Cites Work

• A simplex with dense extreme points
• Relatively weakly open subsets of the unit ball in functions spaces
• The Poulsen simplex
• Geometric aspects of the Daugavet property
• Big slices versus big relatively weakly open subsets in Banach spaces
• Octahedral norms and convex combination of slices in Banach spaces
• Remarks on diameter 2 properties
• Some topological and geometrical structures in Banach spaces
• Remarks on the Predual of a Jb^∗ -Triple
• RELATIVELY WEAKLY OPEN SETS IN CLOSED BALLS OF $C^*$-ALGEBRAS
• The big slice phenomena in M-embedded and L-embedded spaces
• Slices in the unit ball of a uniform algebra
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