The topological complexity of a natural class of norms on Banach spaces

DOI10.1016/S0168-0072(01)00030-6zbMath0981.46015OpenAlexW4211120666MaRDI QIDQ5942880

Robert P. Kaufman, Mohammed Yahdi, Gilles Godefroy

Publication date: 10 September 2001

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-0072(01)00030-6

zbMATH Keywords

difference of analytic setsequivalent normsFréchet-differentiable normsstandard Effros-Borel structure

Mathematics Subject Classification ID

Descriptive set theory (03E15) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (4)

On a problem of Namioka on norm-attaining functionals ⋮ Uniqueness of Hahn-Banach extensions and some of its variants ⋮ Analytic sets of Banach spaces ⋮ The complexity of subdifferentiation and its inverse on convex functions in Banach spaces

Cites Work

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• Borel Classes and Closed Games: Wadge-Type and Hurewicz-Type Results
• La structure borélienne d'Effros est-elle standard?
• M-Ideals, The Strong 2-Ball Property and Some Renorming Theorems
• Topics on analytic sets
• Topological Properties of the Set of Norm-Attaining Linear Functionals

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