On the structure of Banach spaces with an unconditional basic sequence

• Autorzy: Razvan Anisca
• Języki publikacji: EN

Abstrakty

EN

For a Banach space X with an unconditional basic sequence, one of the following regular-irregular alternatives holds: either X contains a subspace isomorphic to ℓ₂, or X contains a subspace which has an unconditional finite-dimensional decomposition, but does not admit such a decomposition with a uniform bound for the dimensions of the decomposition. This result can be viewed in the context of Gowers' dichotomy theorem.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B15: Summability and bases

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 182
• Numer: 1
• Strony: 67-85

Daty

wydano

2007

Twórcy

autor

Razvan Anisca

• Department of Mathematical Sciences, Lakehead University, Thunder Bay, ON, Canada P7B 5E1

Identyfikatory

DOI

10.4064/sm182-1-4