Geodesic
Characterising subspaces of Banach spaces with a Schauder basis having the shift property
Christian Rosendal1
1 Department of Mathematics, Statistics, and Computer Science (M/C 249) University of Illinois at Chicago 851 S. Morgan St. Chicago, IL 60607-7045, U.S.A.
Studia Mathematica, Tome 207 (2011) no. 1, pp. 59-73

Voir la notice de l'article provenant de 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.
DOI : 10.4064/sm207-1-4
Keywords: intrinsic characterisation separable reflexive banach spaces embed separable reflexive spaces unconditional basis whose normalised block sequences growth rate equivalent uses methods odell schlumprecht

Christian Rosendal 1

1 Department of Mathematics, Statistics, and Computer Science (M/C 249) University of Illinois at Chicago 851 S. Morgan St. Chicago, IL 60607-7045, U.S.A. 
@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},
     publisher = {mathdoc},
     volume = {207},
     number = {1},
     year = {2011},
     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
PB  - mathdoc
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  - 
%0 Journal Article
%A Christian Rosendal
%T Characterising subspaces of Banach spaces
 with a Schauder basis having the shift property
%J Studia Mathematica
%D 2011
%P 59-73
%V 207
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm207-1-4/
%R 10.4064/sm207-1-4
%G en
%F 10_4064_sm207_1_4
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

Cité par Sources :