Abstract
We state and comment a number of open problems on the descriptive complexity of some natural classes of Banach spaces. We characterize the separable dual spaces on which the set of equivalent dual norms is analytic.
Resumen
Se exponen y comentan problemas abiertos sobre complejidad descriptiva en algunas clases naturales de espacios de Banach. Se caracterizan los espacios con dual separable para los que el conjunto de normas duales equivalentes es analítico
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Dedicated to Professor Manuel Valdivia on the occasion of his 80th birthday
Submitted by José Orihuela
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Godefroy, G. Analytic sets of Banach spaces. RACSAM 104, 365–374 (2010). https://doi.org/10.5052/RACSAM.2010.23
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DOI: https://doi.org/10.5052/RACSAM.2010.23
Keywords
- Analytic set
- Banach space
- Borel set
- dual norm
- Effros-Borel structure
- polish space
- set (topological) complexity
- and Szlenk index