Note on distortion and Bourgain ℓ₁-index
Studia Mathematica (2009)
- Volume: 190, Issue: 2, page 147-161
- ISSN: 0039-3223
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topAnna Maria Pelczar. "Note on distortion and Bourgain ℓ₁-index." Studia Mathematica 190.2 (2009): 147-161. <http://eudml.org/doc/284632>.
@article{AnnaMariaPelczar2009,
abstract = {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.},
author = {Anna Maria Pelczar},
journal = {Studia Mathematica},
keywords = {distortion; Bourgain -index; -asymptotic space; -spreading model; -strongly asymptotic},
language = {eng},
number = {2},
pages = {147-161},
title = {Note on distortion and Bourgain ℓ₁-index},
url = {http://eudml.org/doc/284632},
volume = {190},
year = {2009},
}
TY - JOUR
AU - Anna Maria Pelczar
TI - Note on distortion and Bourgain ℓ₁-index
JO - Studia Mathematica
PY - 2009
VL - 190
IS - 2
SP - 147
EP - 161
AB - 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.
LA - eng
KW - distortion; Bourgain -index; -asymptotic space; -spreading model; -strongly asymptotic
UR - http://eudml.org/doc/284632
ER -
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