Some results on almost square Banach spaces

DOI10.1016/j.jmaa.2016.02.041zbMath1346.46005arXiv1512.00610OpenAlexW2962833545MaRDI QIDQ252933

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

Publication date: 4 March 2016

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

Full work available at URL: https://arxiv.org/abs/1512.00610

zbMATH Keywords

symmetric tensor productrenormingalmost square Banach spacestrong diameter 2 property

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04)

Related Items (14)

Symmetric strong diameter two property ⋮ Almost square and octahedral norms in tensor products of Banach spaces ⋮ Transfinite almost square Banach spaces ⋮ On weakly almost square Banach spaces ⋮ Octahedral norms in free Banach lattices ⋮ On octahedrality and Müntz spaces ⋮ Diameter two properties, convexity and smoothness ⋮ 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 ⋮ 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 ⋮ The Lipschitz-free space over a length space is locally almost square but never almost square

Cites Work

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• Diameter two properties in James spaces
• Big slices versus big relatively weakly open subsets in Banach spaces
• Octahedral norms and convex combination of slices in Banach spaces
• Remarks on diameter 2 properties
• Banach spaces which are proper M-ideals
• Functional analysis and infinite-dimensional geometry

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