Characterising subspaces of Banach spaces
with a Schauder basis having the shift property
Studia Mathematica, Tome 207 (2011) no. 1, pp. 59-73
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
intrinsic characterisation separable reflexive banach spaces embed separable reflexive spaces unconditional basis whose normalised block sequences growth rate equivalent uses methods odell schlumprecht
Affiliations des auteurs :
Christian Rosendal 1
@article{10_4064_sm207_1_4,
author = {Christian Rosendal},
title = {Characterising subspaces of {Banach} spaces
with a {Schauder} basis having the shift property},
journal = {Studia Mathematica},
pages = {59--73},
year = {2011},
volume = {207},
number = {1},
doi = {10.4064/sm207-1-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm207-1-4/}
}
TY - JOUR AU - Christian Rosendal TI - Characterising subspaces of Banach spaces with a Schauder basis having the shift property JO - Studia Mathematica PY - 2011 SP - 59 EP - 73 VL - 207 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm207-1-4/ DO - 10.4064/sm207-1-4 LA - en ID - 10_4064_sm207_1_4 ER -
Christian Rosendal. Characterising subspaces of Banach spaces with a Schauder basis having the shift property. Studia Mathematica, Tome 207 (2011) no. 1, pp. 59-73. doi: 10.4064/sm207-1-4
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