New applications of extremely regular function spaces

DOI10.2140/pjm.2019.301.385zbMath1459.46011arXiv1711.01494OpenAlexW3106045490MaRDI QIDQ2305346

Olav Nygaard, Trond Arnold Abrahamsen, Märt Põldvere

Publication date: 10 March 2020

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

Full work available at URL: https://arxiv.org/abs/1711.01494

zbMATH Keywords

Daugavet propertystrong diameter 2 propertyoctahedralityalmost square spaceextremely regular function space

Mathematics Subject Classification ID

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

Related Items (12)

Symmetric strong diameter two property ⋮ Small isomorphisms of \(C_0(K)\) onto \(C_0(S)\) generate a unique homeomorphism of \(K\) onto \(S\) similar to that of isometries ⋮ Octahedral norms in duals and biduals of Lipschitz-free spaces ⋮ On the transfinite symmetric strong diameter two property ⋮ Transfinite almost square Banach spaces ⋮ Symmetric strong diameter two property in tensor products of Banach spaces ⋮ On the duality of the symmetric strong diameter 2 property in Lipschitz spaces ⋮ Diameter two properties in some vector-valued function spaces ⋮ Characterisation of the weak-star symmetric strong diameter 2 property in Lipschitz spaces ⋮ Almost squareness and strong diameter two property in tensor product spaces ⋮ Quantitative versions of almost squareness and diameter 2 properties ⋮ The Lipschitz-free space over a length space is locally almost square but never almost square

Cites Work

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• Remarks on diameter 2 properties
• Metric characterization of first Baire class linear forms and octahedral norms
• Some topological and geometrical structures in Banach spaces
• Banach spaces with the Daugavet property
• A Generalization of the Banach-Stone Theorem
• Two remarks on diameter 2 properties
• Slices in the unit ball of a uniform algebra

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