Strong diameter two property and convex combinations of slices reaching the unit sphere

DOI10.1007/s00009-019-1403-1zbMath1434.46007arXiv1703.04749OpenAlexW2969388977WikidataQ127355583 ScholiaQ127355583MaRDI QIDQ2325711

Abraham Rueda Zoca, Miguel Martín, Ginés López-Pérez

Publication date: 27 September 2019

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04749

zbMATH Keywords

\(L_1\)-predualconvex combination of slicesdiameter two propertyrelatively weakly open set

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Isometric theory of Banach spaces (46B04)

Related Items (4)

Attaining strong diameter two property for infinite cardinals ⋮ A characterization of the weak topology in the unit ball of purely atomic \(L_1\) preduals ⋮ Relatively weakly open convex combinations of slices and scattered \(\mathrm{C}^*\)-algebras ⋮ BIDUAL OCTAHEDRAL RENORMINGS AND STRONG REGULARITY IN BANACH SPACES

Cites Work

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• \(M\)-ideals in Banach spaces and Banach algebras
• Subspaces of Banach spaces with big slices
• Octahedral norms in spaces of operators
• Remarks on diameter 2 properties
• Relatively weakly open convex combinations of slices
• Some topological and geometrical structures in Banach spaces
• Octahedral norms in tensor products of Banach spaces
• On convex combinations of slices of the unit ball in Banach spaces
• Banach spaces where convex combinations of relatively weakly open subsets of the unit ball are relatively weakly open

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