Estimation of the Szlenk index of reflexive Banach spaces using generalized Baernstein spaces

Ryan Causey. "Estimation of the Szlenk index of reflexive Banach spaces using generalized Baernstein spaces." Fundamenta Mathematicae 228.2 (2015): 153-171. <http://eudml.org/doc/283383>.

@article{RyanCausey2015,
abstract = {For each ordinal α < ω₁, we prove the existence of a separable, reflexive Banach space W with a basis so that Sz(W), $Sz(W*) ≤ ω^\{α+1\}$ which is universal for the class of separable, reflexive Banach spaces X satisfying Sz(X), $Sz(X*) ≤ ω^\{α\}$.},
author = {Ryan Causey},
journal = {Fundamenta Mathematicae},
keywords = {Szlenk index; universal spaces; embedding in spaces with finite-dimensional decompositions; Baernstein spaces},
language = {eng},
number = {2},
pages = {153-171},
title = {Estimation of the Szlenk index of reflexive Banach spaces using generalized Baernstein spaces},
url = {http://eudml.org/doc/283383},
volume = {228},
year = {2015},
}

TY - JOUR
AU - Ryan Causey
TI - Estimation of the Szlenk index of reflexive Banach spaces using generalized Baernstein spaces
JO - Fundamenta Mathematicae
PY - 2015
VL - 228
IS - 2
SP - 153
EP - 171
AB - For each ordinal α < ω₁, we prove the existence of a separable, reflexive Banach space W with a basis so that Sz(W), $Sz(W*) ≤ ω^{α+1}$ which is universal for the class of separable, reflexive Banach spaces X satisfying Sz(X), $Sz(X*) ≤ ω^{α}$.
LA - eng
KW - Szlenk index; universal spaces; embedding in spaces with finite-dimensional decompositions; Baernstein spaces
UR - http://eudml.org/doc/283383
ER -