On the Structure of the Set of Symmetric Sequences in Orlicz Sequence Spaces
Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 138-148

Voir la notice de l'article provenant de la source Cambridge University Press

We study the structure of the sets of symmetric sequences and spreading models of an Orlicz sequence space equipped with partial order with respect to domination of bases. In the cases that these sets are “small”, some descriptions of the structure of these posets are obtained.
DOI : 10.4153/CMB-2007-014-3
Mots-clés : 46B20, 46B45, 46B07
Sari, Bünyamin. On the Structure of the Set of Symmetric Sequences in Orlicz Sequence Spaces. Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 138-148. doi: 10.4153/CMB-2007-014-3
@article{10_4153_CMB_2007_014_3,
     author = {Sari, B\"unyamin},
     title = {On the {Structure} of the {Set} of {Symmetric} {Sequences} in {Orlicz} {Sequence} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {138--148},
     year = {2007},
     volume = {50},
     number = {1},
     doi = {10.4153/CMB-2007-014-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-014-3/}
}
TY  - JOUR
AU  - Sari, Bünyamin
TI  - On the Structure of the Set of Symmetric Sequences in Orlicz Sequence Spaces
JO  - Canadian mathematical bulletin
PY  - 2007
SP  - 138
EP  - 148
VL  - 50
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-014-3/
DO  - 10.4153/CMB-2007-014-3
ID  - 10_4153_CMB_2007_014_3
ER  - 
%0 Journal Article
%A Sari, Bünyamin
%T On the Structure of the Set of Symmetric Sequences in Orlicz Sequence Spaces
%J Canadian mathematical bulletin
%D 2007
%P 138-148
%V 50
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-014-3/
%R 10.4153/CMB-2007-014-3
%F 10_4153_CMB_2007_014_3

[AOST] Androulakis, G., Odell, E., Schlumprecht, T. and Tomczak-Jaegermann, N., On the structure of spreading models of a Banach space. Canad. J. Math. 57(2005), no. 4, 673–707. Google Scholar

[DOS] Dilworth, S. J., Odell, E. and Sari, B., Lattice structures and spreading models. Israel J. Math., to appear. Google Scholar

[FPR] Ferenczi, V., Pelczar, A. M. and Rosendal, C., On a question of Haskell P. Rosenthal concerning a characterization of c and , Bull. London Math. Soc. 36 (2004), no. 3, 396–406. Google Scholar

[LT] Lindenstrauss, J. and Tzafriri, L., Classical Banach Spaces. I. Ergebnisse der Mathematik und ihrer Grenzgebiete 92, Springer-Verlag, Berlin, 1977. Google Scholar

[S] Sari, B., On Banach spaces with few spreading models. Proc. Amer. Math. Soc. 134(2006), no. 5, 1339–1345. Google Scholar

Cité par Sources :