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math.FAMay 6, 1992
75
citations (OpenAlex)
authors
  • W. T. Gowers
  • Bernard Maurey
arXiv abstractPDF
paper

The unconditional basic sequence problem

arXiv:math/9205204

Abstract

We construct a Banach space that does not contain any infinite unconditional basic sequence.

Cited by in corpus (7)

  • Linear Dynamical Systems
  • Unconditionally saturated Banach space with the scalar-plus-compact property
  • Fréchet algebras with a dominating Hilbert algebra norm
  • When are full representations of algebras of operators on Banach spaces automatically faithful?
  • A Banach space whose algebra of operators is Dedekind-finite but it does not have stable rank one
  • Spectral-free methods in the theory of hereditarily indecomposable Banach spaces
  • Rolewicz-type chaotic operators
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