Unconditional families in Banach spaces

DOI10.1007/s00208-007-0179-yzbMath1160.46005OpenAlexW2028336771MaRDI QIDQ2480871

Pandelis Dodos, Vassilis Kanellopoulos, Spiros A. Argyros

Publication date: 3 April 2008

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-007-0179-y

zbMATH Keywords

Ramsey theoryunconditional basishereditarily indecomposable Banach spacesseparable quotient

Mathematics Subject Classification ID

Trees (05C05) Isomorphic theory (including renorming) of Banach spaces (46B03) Nonseparable Banach spaces (46B26) Ramsey theory (05D10)

Related Items (21)

On the separable quotient problem for Banach spaces ⋮ BARRELLED SPACES WITH(OUT) SEPARABLE QUOTIENTS ⋮ A topological group observation on the Banach-Mazur separable quotient problem ⋮ Separable quotients for less-than-barrelled function spaces ⋮ Quasicomplemented subspaces of Banach spaces and separable quotients ⋮ Unconditional basic sequences in spaces of large density ⋮ Revisiting Mazur separable quotient problem (1932) ⋮ Operators whose dual has non-separable range ⋮ A density version of the Halpern-Läuchli theorem ⋮ On the subspaces of JF and JT with non-separable dual ⋮ Banach spaces and Ramsey theory: some open problems ⋮ The separable quotient problem for topological groups ⋮ Borel extractions of converging sequences in compact sets of Borel functions ⋮ The dual of the locally convex space \(C_p(X)\) ⋮ Combinatorial Dichotomies in Set Theory ⋮ The uniform bounded deciding property and the separable quotient problem ⋮ The quotient/codimension problems ⋮ A REMARK ON THE SEPARABLE QUOTIENT PROBLEM FOR TOPOLOGICAL GROUPS ⋮ The perturbation classes problem for closed operators ⋮ Finite basis for analytic multiple gaps ⋮ Separable quotients in 𝐶_{𝑐}(𝑋), 𝐶_{𝑝}(𝑋), and their duals

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