On Separable Banach Spaces, Universal for all Separable Reflexive Spaces

DOI10.2307/2043243zbMath0438.46005OpenAlexW4230511770MaRDI QIDQ3879723

Jean Bourgain

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2043243

zbMATH Keywords

universal elementtree spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Duality and reflexivity in normed linear and Banach spaces (46B10)

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Cites Work

• Unnamed Item
• Quotients of \(C[0,1\) with separable dual]
• Classical Banach spaces
• Banach spaces which can be given an equivalent uniformly convex norm
• Borel sets with $F_σδ$-section
• A counterexample to several questions about Banach spaces
• A separable somewhat reflexive Banach space with nonseparable dual
• The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces
• Uniformly non-$l^{(1)}$ and B-convex Banach spaces

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