Rethinking polyhedrality for Lindenstrauss spaces

DOI10.1007/s11856-016-1412-8zbMath1372.46015arXiv1506.08559OpenAlexW2963455814MaRDI QIDQ503242

Emanuele Casini, Libor Veselý, Łukasz Piasecki, Enrico Miglierina

Publication date: 11 January 2017

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

Full work available at URL: https://arxiv.org/abs/1506.08559

zbMATH Keywords

compact operatorLindenstrauss spacepolyhedral space\(L_1\)-predualisometric copies of \(c\)

Mathematics Subject Classification ID

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

Related Items (12)

Daugavet property in projective symmetric tensor products of Banach spaces ⋮ Some topological and metric properties of the space of $\ell _1$-predual hyperplanes in $c$ ⋮ Stability constants of the weak\(^*\) fixed point property for the space \(\ell_{1}\) ⋮ On Banach space properties that are not invariant under the Banach-Mazur distance 1 ⋮ On isomorphic embeddings of \(c\) into \(L_1\)-preduals and some applications ⋮ Hölder-contractive mappings, nonlinear extension problem and fixed point free results ⋮ Polyhedral points, QP-points and Q-points ⋮ On \(\ell_1\)-preduals distant by 1 ⋮ Correction to “On some subspaces of Banach spaces whose duals are 𝐿₁ spaces” ⋮ Polyhedral preduals of \(\ell_{1}\) and their representing matrices ⋮ Weak* fixed point property and the space of affine functions ⋮ Residuality in the set of norm attaining operators between Banach spaces

Cites Work

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• Infinite-Dimensional Polyhedrality
• Extension of compact operators
• On Some Subspaces of Banach Spaces Whose Duals are L 1 Spaces
• A Note on Polyhedral Banach Spaces

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