On a problem of Rolewicz about Banach spaces that admit support sets

DOI10.1016/j.jfa.2009.07.016zbMath1187.46011OpenAlexW2091555234MaRDI QIDQ734334

Piotr Koszmider

Publication date: 20 October 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.07.016

zbMATH Keywords

Banach spacesbiorthogonal systemsindependence resultsBanach spaces of continuous functionssupport sets

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Classical Banach spaces in the general theory (46B25) Consistency and independence results (03E35) Nonseparable Banach spaces (46B26)

Related Items (10)

On the problem of compact totally disconnected reflection of nonmetrizability ⋮ Uncountable equilateral sets in Banach spaces of the form \(C(K)\) ⋮ Generic Banach spaces and generic simplexes ⋮ Extracting long basic sequences from systems of dispersed vectors ⋮ \(CH\), a problem of Rolewicz and bidiscrete systems ⋮ Large Irredundant Sets in Operator Algebras ⋮ On universal Banach spaces of density continuum ⋮ Banach spaces and Ramsey theory: some open problems ⋮ Equilateral sets in infinite dimensional Banach spaces ⋮ On coverings of Banach spaces and their subsets by hyperplanes

Cites Work

• Uncountable constructions for B. A., e. c. groups and Banach spaces
• Minimally generated Boolean algebras
• Points of support for closed convex sets
• Set theory. An introduction to independence proofs
• On uncountable Boolean algebras with no uncountable pairwise comparable or incomparable sets of elements
• Countable spread of \(\exp Y\) and \(\lambda Y\)
• Biorthogonal systems and quotient spaces via Baire category methods
• Solution to a problem of S. Rolewicz
• Irredundant Sets in Boolean Algebras
• Forcing minimal extensions of Boolean algebras
• Banach spaces that admit support sets
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