Generic Banach spaces and generic simplexes
DOI10.1016/j.jfa.2011.03.008zbMath1235.46012OpenAlexW2043487891MaRDI QIDQ642510
Jordi López-Abad, Stevo Todorčević
Publication date: 27 October 2011
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2011.03.008
Schauder basisforcingconfigurationsMazur intersection propertyamalgamationbiorthogonal systemLindenstrauss spacesChoquet simplexesLindelöf propertyBauer simplexesGurarii spacespolyhedral Banach spacePoulsen simplexesunavoidable configurations
Isomorphic theory (including renorming) of Banach spaces (46B03) Nonseparable Banach spaces (46B26) Convex sets in topological linear spaces; Choquet theory (46A55) Model-theoretic forcing (03C25)
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Cites Work
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- Renorming Banach spaces with the Mazur intersection property
- Cellularity of covariant functors
- On a problem of Rolewicz about Banach spaces that admit support sets
- A simplex with dense extreme points
- Set theory. An introduction to independence proofs. 2nd print
- Three characterizations of polyhedral Banach spaces
- Mazur intersection property for Asplund spaces
- Pre-compact families of finite sets of integers and weakly null sequences in Banach spaces
- Uncountable constructions for B. A., e. c. groups and Banach spaces
- Points of support for closed convex sets
- Polyhedral Banach spaces
- Countable spread of \(\exp Y\) and \(\lambda Y\)
- The Gurarij spaces are unique
- The Poulsen simplex
- Massiveness of the set of extreme points of the dual ball of a Banach space. Polyhedral spaces
- A criterion for the metrizability of a compact convex set in terms of the set of extreme points
- Biorthogonal systems and quotient spaces via Baire category methods
- Separable Banach spaces which admit \(I^ \infty_ n\) approximations
- On Banach spaces whose duals are \(L_ 1\) spaces
- Banach spaces whose duals are \(L_ 1\) spaces and their representing matrices
- Banach spaces whose duals are isomorphic to \(l_1(\Gamma)\)
- Convex compact spaces and their maps
- On nonseperable simplex spaces.
- Partition Problems in Topology
- On the Kunen–Shelah properties in Banach spaces
- Banach spaces that admit support sets
- Extension of compact operators
- Biorthogonal systems in Banach spaces
- Lectures on Choquet's theorem