The descriptive complexity of approximation properties in an admissible topology

DOI10.4064/FM758-8-2019zbMath1459.46021OpenAlexW2994887448WikidataQ126542262 ScholiaQ126542262MaRDI QIDQ3298779

Ghadeer Ghawadrah

Publication date: 15 July 2020

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm758-8-2019

zbMATH Keywords

Borel setadmissible topologybounded approximation propertyEffros Borel structure\(\pi_\lambda\)-property\(\Sigma_0^6\)-set

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (2)

Polish spaces of Banach spaces ⋮ Lipschitz-free spaces and approximating sequences of projections

Cites Work

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• Analytic sets of Banach spaces
• Descriptive complexity of some isomorphism classes of Banach spaces
• Tsirelson-like spaces and complexity of classes of Banach spaces
• The descriptive complexity of the family of Banach spaces with the \(\pi\)-property
• The isomorphism class of \(c_0\) is not Borel
• A coding of separable Banach spaces. Analytic and coanalytic families of Banach spaces
• Non-isomorphic complemented subspaces of the reflexive Orlicz function spaces $L^{\Phi }[0,1$]
• Lipschitz-free Banach spaces

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