Almost square Banach spaces

DOI10.1016/j.jmaa.2015.09.060zbMath1335.46006arXiv1402.0818OpenAlexW2963338677MaRDI QIDQ891418

Vegard Lima, Johann Langemets, Trond Arnold Abrahamsen

Publication date: 17 November 2015

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

Full work available at URL: https://arxiv.org/abs/1402.0818

zbMATH Keywords

intersection propertyCesàro function spacediameter two property\(M\)-embedded spacealmost squareoctahedral norm

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04)

Related Items

Symmetric strong diameter two property ⋮ Relatively weakly open convex combinations of slices ⋮ Almost square and octahedral norms in tensor products of Banach spaces ⋮ Locally almost square Banach lattices ⋮ Daugavet and diameter two properties in Orlicz-Lorentz 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 ⋮ Weakly almost square Lipschitz-free spaces ⋮ On weakly almost square Banach spaces ⋮ Octahedral norms in free Banach lattices ⋮ On octahedrality and Müntz spaces ⋮ Unconditional almost squareness and applications to spaces of Lipschitz functions ⋮ Summands in locally almost square and locally octahedral spaces ⋮ Almost squareness and strong diameter two property in tensor product spaces ⋮ New applications of extremely regular function spaces ⋮ Daugavet- and delta-points in Banach spaces with unconditional bases ⋮ Almost square dual Banach spaces ⋮ Banach spaces containing \(c_0\) and elements in the fourth dual ⋮ Quantitative versions of almost squareness and diameter 2 properties ⋮ Extremal structure in ultrapowers of Banach spaces ⋮ The Lipschitz-free space over a length space is locally almost square but never almost square ⋮ Some results on almost square Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the dual of Cesàro function space
• \(M\)-ideals in Banach spaces and Banach algebras
• An intersection property of balls and relations with M-ideals
• Big slices versus big relatively weakly open subsets in Banach spaces
• Octahedral norms and convex combination of slices in Banach spaces
• Selections linéaires associees au théorème de Hahn-Banach
• A note on asymptotically isometric copies of $l^1$ and $c_0$
• Remarks on diameter 2 properties
• Banach spaces which are proper M-ideals
• Banach Spaces Which are M-Ideals in their Biduals
• Cesàro function spaces fail the fixed point property
• Property (M), M-ideals, and almost isometric structure of Banach spaces.
• On duality of diameter 2 properties
• Two remarks on diameter 2 properties
• ALMOST ISOMETRIC IDEALS IN BANACH SPACES
• Extension of compact operators
• The Size of the Unit Sphere
• The optimality of James’s distortion theorems
• The big slice phenomena in M-embedded and L-embedded spaces