Geodesic
Banach spaces without minimal subspaces – Examples
[Exemples d’espaces de Banach]
Ferenczi, Valentin1  ; Rosendal, Christian2 
1 Universidade de São Paulo Instituto de Matemática e Estatística Departamento de Matemática rua do Matão, 1010 05508-090 São Paulo, SP, (Brazil)
2 University of Illinois at Chicago Department of Mathematics, Statistics, and Computer Science 851 S. Morgan Street Chicago, IL 60607-7045 (USA)
Annales de l'Institut Fourier, Tome 62 (2012) no. 2, pp. 439-475

Voir la notice de l'article provenant de la source Numdam

We analyse several examples of separable Banach spaces, some of them new, and relate them to several dichotomies obtained in [11],by classifying them according to which side of the dichotomies they fall.

Plusieurs exemples d’espaces de Banach séparables, dont certains sont nouveaux, sont analysés, et reliés à plusieurs dichotomies obtenues dans [11]. Ces exemples sont classifiés en fonction de quelle alternative de chaque dichotomie ils satisfont.

DOI : 10.5802/aif.2684
Classification : 46B03, 03E15
Keywords: tight Banach spaces, dichotomies, classification of Banach spaces
Mots-clés : espaces de Banach étroits, dichotomies, classification des espaces de Banach

Ferenczi, Valentin 1 ; Rosendal, Christian 2

1 Universidade de São Paulo Instituto de Matemática e Estatística Departamento de Matemática rua do Matão, 1010 05508-090 São Paulo, SP, (Brazil)
2 University of Illinois at Chicago Department of Mathematics, Statistics, and Computer Science 851 S. Morgan Street Chicago, IL 60607-7045 (USA) 
@article{AIF_2012__62_2_439_0,
     author = {Ferenczi, Valentin and Rosendal, Christian},
     title = {Banach spaces without minimal subspaces {\textendash} {Examples}},
     journal = {Annales de l'Institut Fourier},
     pages = {439--475},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {62},
     number = {2},
     year = {2012},
     doi = {10.5802/aif.2684},
     zbl = {1254.46011},
     mrnumber = {2985506},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/aif.2684/}
}
TY  - JOUR
AU  - Ferenczi, Valentin
AU  - Rosendal, Christian
TI  - Banach spaces without minimal subspaces – Examples
JO  - Annales de l'Institut Fourier
PY  - 2012
SP  - 439
EP  - 475
VL  - 62
IS  - 2
PB  - Association des Annales de l’institut Fourier
UR  - http://geodesic.mathdoc.fr/articles/10.5802/aif.2684/
DO  - 10.5802/aif.2684
LA  - en
ID  - AIF_2012__62_2_439_0
ER  - 
%0 Journal Article
%A Ferenczi, Valentin
%A Rosendal, Christian
%T Banach spaces without minimal subspaces – Examples
%J Annales de l'Institut Fourier
%D 2012
%P 439-475
%V 62
%N 2
%I Association des Annales de l’institut Fourier
%U http://geodesic.mathdoc.fr/articles/10.5802/aif.2684/
%R 10.5802/aif.2684
%G en
%F AIF_2012__62_2_439_0
Ferenczi, Valentin; Rosendal, Christian. Banach spaces without minimal subspaces – Examples. Annales de l'Institut Fourier, Tome 62 (2012) no. 2, pp. 439-475. doi: 10.5802/aif.2684

Cité par Sources :