Characterising subspaces of Banach spaces with a Schauder basis having the shift property

Christian Rosendal. "Characterising subspaces of Banach spaces with a Schauder basis having the shift property." Studia Mathematica 207.1 (2011): 59-73. <http://eudml.org/doc/285498>.

@article{ChristianRosendal2011,
abstract = {We give an intrinsic characterisation of the separable reflexive Banach spaces that embed into separable reflexive spaces with an unconditional basis all of whose normalised block sequences with the same growth rate are equivalent. This uses methods of E. Odell and T. Schlumprecht.},
author = {Christian Rosendal},
journal = {Studia Mathematica},
keywords = {embedding theorems; Schauder basis; shift property; trees; unconditional basis; block basis},
language = {eng},
number = {1},
pages = {59-73},
title = {Characterising subspaces of Banach spaces with a Schauder basis having the shift property},
url = {http://eudml.org/doc/285498},
volume = {207},
year = {2011},
}

TY - JOUR
AU - Christian Rosendal
TI - Characterising subspaces of Banach spaces with a Schauder basis having the shift property
JO - Studia Mathematica
PY - 2011
VL - 207
IS - 1
SP - 59
EP - 73
AB - We give an intrinsic characterisation of the separable reflexive Banach spaces that embed into separable reflexive spaces with an unconditional basis all of whose normalised block sequences with the same growth rate are equivalent. This uses methods of E. Odell and T. Schlumprecht.
LA - eng
KW - embedding theorems; Schauder basis; shift property; trees; unconditional basis; block basis
UR - http://eudml.org/doc/285498
ER -