Descriptive complexity of some isomorphism classes of Banach spaces

DOI10.1016/J.JFA.2018.01.018zbMath1400.46010OpenAlexW2790486302MaRDI QIDQ1635691

Gilles Godefroy, Jean Saint Raymond

Publication date: 1 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2018.01.018

zbMATH Keywords

Banach spacesdescriptive complexityBorel classes

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (6)

Polish spaces of Banach spaces ⋮ The isomorphism class of \(c_0\) is not Borel ⋮ Universality, complexity and asymptotically uniformly smooth Banach spaces ⋮ The descriptive complexity of approximation properties in an admissible topology ⋮ Uniformly factoring weakly compact operators and parametrised dualisation ⋮ Large cardinals and continuity of coordinate functionals of filter bases in Banach spaces

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