Kadec norms and Borel sets in a Banach space
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Publication:4700281
DOI10.4064/sm-136-1-1-16zbMath0935.46021OpenAlexW241793463MaRDI QIDQ4700281
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Publication date: 4 May 2000
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/216658
Borel nature of a Banach space in its bidualcoincidence of Borel \(\sigma\)-algebrasKadec type norms
Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Geometry and structure of normed linear spaces (46B20) Nonseparable Banach spaces (46B26)
Related Items (18)
Metrization theory and the Kadec property ⋮ Borel measurability of separately continuous functions. II. ⋮ Topological properties of the continuous function spaces on some ordered compacta ⋮ On Borel structures in the Banach space \(C({\beta}{\omega})\) ⋮ Fragmentability of groups and metric-valued function spaces ⋮ First Borel class sets in Banach spaces and the asymptotic-norming property ⋮ Borel properties of linear operators. ⋮ On Gruenhage spaces, separating \(\sigma\)-isolated families, and their relatives ⋮ On some class of Borel measurable maps and absolute Borel topological spaces ⋮ ALUR dual renormings of Banach spaces ⋮ Fragmentability in Banach spaces: interaction of topologies ⋮ On some problems concerning Borel structures in function spaces ⋮ Sigma-fragmentability and the property SLD in \(C(K)\) spaces ⋮ ON A PROBLEM OF TALAGRAND CONCERNING SEPARATELY CONTINUOUS FUNCTIONS ⋮ A note on weak-star and norm Borel sets in the dual of the space of continuous functions ⋮ On weakly locally uniformly rotund Banach spaces ⋮ On dual locally uniformly rotund norms ⋮ Borel measurability of separately continuous functions
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