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A class of Banach spaces with no unconditional basic sequence

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Publication:1408226
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DOI10.1016/S1631-073X(03)00272-3zbMath1031.46016MaRDI QIDQ1408226

Spiros A. Argyros, Jordi López-Abad, Stevo Todorčević

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)


zbMATH Keywords

unconditional basic sequence


Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Nonseparable Banach spaces (46B26)


Related Items (3)

A construction of a Banach space \(C(K)\) with few operators ⋮ A non-separable uniformly convex Banach space on which there are few operators ⋮ A class of Banach spaces with few non-strictly singular operators



Cites Work

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  • Partitioning pairs of countable ordinals
  • An arbitrarily distortable Banach space
  • Indecomposability and unconditionality in duality
  • Coherent Sequences
  • Examples of asymptotic ℓ₁ Banach spaces
  • The Unconditional Basic Sequence Problem
  • An indecomposable and unconditionally saturated Banach space
  • A Solution to the Schroeder-Bernstein Problem for Banach Spaces
  • On nonseparable reflexive Banach spaces


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