Geodesic
Non-separable tree-like Banach spaces and Rosenthal's $\ell _{1}$-theorem
Costas Poulios 1
1 Department of Mathematics National and Kapodistrian University of Athens 15784 Athens, Greece
Studia Mathematica, Tome 221 (2014) no. 1, pp. 1-12 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We introduce and investigate a class of non-separable tree-like Banach spaces. As a consequence, we prove that we cannot achieve a satisfactory extension of Rosenthal's $\ell _1$-theorem to spaces of the type $\ell _1(\kappa )$ for $\kappa $ an uncountable cardinal.
DOI : 10.4064/sm221-1-1
Keywords: introduce investigate class non separable tree like banach spaces consequence prove cannot achieve satisfactory extension rosenthals ell theorem spaces type ell kappa kappa uncountable cardinal

Costas Poulios  1

1 Department of Mathematics National and Kapodistrian University of Athens 15784 Athens, Greece 
@article{10_4064_sm221_1_1,
     author = {Costas Poulios},
     title = {Non-separable tree-like {Banach} spaces and {Rosenthal's} $\ell _{1}$-theorem},
     journal = {Studia Mathematica},
     pages = {1--12},
     year = {2014},
     volume = {221},
     number = {1},
     doi = {10.4064/sm221-1-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm221-1-1/}
}
TY  - JOUR
AU  - Costas Poulios
TI  - Non-separable tree-like Banach spaces and Rosenthal's $\ell _{1}$-theorem
JO  - Studia Mathematica
PY  - 2014
SP  - 1
EP  - 12
VL  - 221
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm221-1-1/
DO  - 10.4064/sm221-1-1
LA  - en
ID  - 10_4064_sm221_1_1
ER  - 
%0 Journal Article
%A Costas Poulios
%T Non-separable tree-like Banach spaces and Rosenthal's $\ell _{1}$-theorem
%J Studia Mathematica
%D 2014
%P 1-12
%V 221
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/sm221-1-1/
%R 10.4064/sm221-1-1
%G en
%F 10_4064_sm221_1_1
Costas Poulios. Non-separable tree-like Banach spaces and Rosenthal's $\ell _{1}$-theorem. Studia Mathematica, Tome 221 (2014) no. 1, pp. 1-12. doi: 10.4064/sm221-1-1

Cité par Sources :