Banach spaces of bounded Szlenk index II

D. Freeman, et al. "Banach spaces of bounded Szlenk index II." Fundamenta Mathematicae 205.2 (2009): 161-177. <http://eudml.org/doc/283107>.

@article{D2009,
abstract = {For every α < ω₁ we establish the existence of a separable Banach space whose Szlenk index is $ω^\{αω+1\}$ and which is universal for all separable Banach spaces whose Szlenk index does not exceed $ω^\{αω\}$. In order to prove that result we provide an intrinsic characterization of which Banach spaces embed into a space admitting an FDD with Tsirelson type upper estimates.},
author = {D. Freeman, E. Odell, Th. Schlumprecht, A. Zsák},
journal = {Fundamenta Mathematicae},
keywords = {Szlenk index; universal space; embedding into FDDs; Effros-Borel structure; analytic classes},
language = {eng},
number = {2},
pages = {161-177},
title = {Banach spaces of bounded Szlenk index II},
url = {http://eudml.org/doc/283107},
volume = {205},
year = {2009},
}

TY - JOUR
AU - D. Freeman
AU - E. Odell
AU - Th. Schlumprecht
AU - A. Zsák
TI - Banach spaces of bounded Szlenk index II
JO - Fundamenta Mathematicae
PY - 2009
VL - 205
IS - 2
SP - 161
EP - 177
AB - For every α < ω₁ we establish the existence of a separable Banach space whose Szlenk index is $ω^{αω+1}$ and which is universal for all separable Banach spaces whose Szlenk index does not exceed $ω^{αω}$. In order to prove that result we provide an intrinsic characterization of which Banach spaces embed into a space admitting an FDD with Tsirelson type upper estimates.
LA - eng
KW - Szlenk index; universal space; embedding into FDDs; Effros-Borel structure; analytic classes
UR - http://eudml.org/doc/283107
ER -