Non-universal families of separable Banach spaces
From MaRDI portal
Publication:2809360
DOI10.4064/sm8380-4-2016zbMath1355.46013arXiv1508.05059OpenAlexW3105911938MaRDI QIDQ2809360
Publication date: 27 May 2016
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.05059
strict convexityanalytic setmonotone basisEffros Borel structureisometrically universal Banach space
Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Isometric theory of Banach spaces (46B04) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)
Related Items
Amalgamations of classes of Banach spaces with a monotone basis ⋮ Zippin’s embedding theorem and amalgamations of classes of Banach spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytic sets of Banach spaces
- Genericity and amalgamation of classes of Banach spaces
- Banach spaces and descriptive set theory: selected topics
- Genericity of Fréchet smooth spaces
- A universal reflexive space for the class of uniformly convex Banach spaces
- A universal property of reflexive hereditarily indecomposable Banach spaces
- A coding of separable Banach spaces. Analytic and coanalytic families of Banach spaces
- Zippin’s embedding theorem and amalgamations of classes of Banach spaces
- Amalgamations of classes of Banach spaces with a monotone basis
- Some strongly bounded classes of Banach spaces
- Banach Spaces With Separable Duals
- Quotients of Banach spaces and surjectively universal spaces
- On classes of Banach spaces admitting ‘‘small” universal spaces
- A construction of ℒ∞-spaces and related Banach spacesand related Banach spaces
- On Separable Banach Spaces, Universal for all Separable Reflexive Spaces
- Slicings, Selections and Their Applications
- The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces
