Note on distortion and Bourgain ℓ₁-index

• Autorzy: Anna Maria Pelczar
• Języki publikacji: EN

Abstrakty

EN

Relations between different notions measuring proximity to ℓ₁ and distortability of a Banach space are studied. The main result states that a Banach space all of whose subspaces have Bourgain ℓ₁-index greater than $ω^{α}$, α < ω₁, contains either an arbitrarily distortable subspace or an $ℓ₁^{α}$-asymptotic subspace.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B03: Isomorphic theory (including renorming) of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 190
• Numer: 2
• Strony: 147-161

Daty

wydano

2009

Twórcy

autor

Anna Maria Pelczar

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/sm190-2-4