On lattice-almost isometric copies of \(c_0 (\Gamma)\) and \(\ell_1 (\Gamma)\) in Banach lattices

DOI10.1007/s12215-021-00620-yzbMath1494.46014OpenAlexW3165784739MaRDI QIDQ2120283

Andrés Fabián Leal-Archila, Michael A. Rincón-Villamizar

Publication date: 31 March 2022

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-021-00620-y

zbMATH Keywords

Banach spacesBanach latticescomplemented James distortion theoremcopies of \(\ell_1 (\Gamma)\)copies of \(c_0 (\Gamma)\)James distortion theorem

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Banach lattices (46B42) Nonseparable Banach spaces (46B26)

Cites Work

• Chain conditions in free Banach lattices
• The free Banach lattice generated by a Banach space
• Uniformly non-square Banach spaces
• Subspaces of certain Banach Sequence Spaces
• An Introduction to Banach Space Theory
• Distortion of Lipschitz functions on 𝑐₀(Γ)
• On a Convexity Condition in Normed Linear Spaces
• On relatively disjoint families of measures, with some applications to Banach space theory
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