Geometry of unit balls of free Banach lattices, and its applications

DOI10.1016/j.jfa.2024.110351arXiv2303.05209WikidataQ129202616 ScholiaQ129202616MaRDI QIDQ6150108

Timur Oikhberg

Publication date: 5 March 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.05209

zbMATH Keywords

approximation property\(p\)-summing operatormixing operatorfree Banach lattice

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of operators; tensor products; approximation properties (46B28)

Cites Work

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• Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations
• Banach lattices
• The free Banach lattice generated by a Banach space
• Injectivity and projectivity in \(p\)-multinormed spaces
• A Godefroy-Kalton principle for free Banach lattices
• Free Banach lattices under convexity conditions
• Tensor Products and Grothendieck Type Inequalities of Operators in L p - Spaces
• Finite dimensional subspaces of $L_{p}$
• 19. Order extreme points and solid convex hulls
• Classical Fourier Analysis

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