A Banach lattice having the approximation property, but not having the bounded approximation property

DOI10.1134/S0001434620070251zbMath1470.46039OpenAlexW3047181418MaRDI QIDQ2197255

Oleg I. Reinov

Publication date: 31 August 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620070251

zbMATH Keywords

Banach latticebasisapproximation propertybounded approximation property

Mathematics Subject Classification ID

Banach lattices (46B42) Spaces of operators; tensor products; approximation properties (46B28)

Cites Work

• Unnamed Item
• Absolutely summing operators and local unconditional structures
• On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces
• A Banach lattice without the approximation property
• On James's paper 'Separable conjugate spaces'
• A counterexample to the approximation problem in Banach spaces
• The Approximation Property Does Not Imply the Bounded Approximation Property
• The Approximation Problem for Banach Spaces
• Produits tensoriels topologiques et espaces nucléaires

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