Big slices versus big relatively weakly open subsets in Banach spaces

DOI10.1016/j.jmaa.2015.03.056zbMath1332.46011arXiv1304.4397OpenAlexW2963154525MaRDI QIDQ2348501

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

Publication date: 12 June 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4397

zbMATH Keywords

renormingRadon-Nikodym propertyslicesrelatively weakly open sets

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Isometric theory of Banach spaces (46B04) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (14)

Relatively weakly open convex combinations of slices ⋮ Almost square Banach spaces ⋮ Diameter two properties and the Radon-Nikodým property in Orlicz spaces ⋮ On weakly almost square Banach spaces ⋮ The equivalence between CPCP and strong regularity under Krein-Milman property ⋮ Extreme differences between weakly open subsets and convex combinations of slices in Banach spaces ⋮ On Daugavet indices of thickness ⋮ Diameter two properties and polyhedrality ⋮ Stability of diametral diameter two properties ⋮ Diameter 2 properties and convexity ⋮ New applications of extremely regular function spaces ⋮ Daugavet- and delta-points in Banach spaces with unconditional bases ⋮ Small combination of slices, dentability and stability results of small diameter properties in Banach spaces ⋮ Some results on almost square Banach spaces

Cites Work

• Extreme differences between weakly open subsets and convex combinations of slices in Banach spaces
• Relatively weakly open subsets of the unit ball in functions spaces
• Martingales valued in certain subspaces of \(L^1\)
• Moduli of non-dentability and the Radon-Nikodým property in Banach spaces
• Geometric aspects of the Daugavet property
• Remarks on diameter 2 properties
• Characterizations of Denting Points
• Some topological and geometrical structures in Banach spaces
• A separable somewhat reflexive Banach space with nonseparable dual
• RELATIVELY WEAKLY OPEN SETS IN CLOSED BALLS OF $C^*$-ALGEBRAS
• The big slice phenomena in M-embedded and L-embedded spaces
• Geometrical Implications of Certain Infinite Dimensional Decompositions
• Functional analysis and infinite-dimensional geometry
• Slices in the unit ball of a uniform algebra
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