Geodesic
Some strongly bounded classes of Banach spaces
Pandelis Dodos1 ; Valentin Ferenczi2
1Department of Mathematics Faculty of Applied Sciences National Technical University of Athens Zografou Campus 157 80 Athens, Greece
2Équipe d'Analyse Fonctionnelle Université Pierre et Marie Curie – Paris 6 Boîte 186, 4, place Jussieu 75252 Paris Cedex 05, France
Fundamenta Mathematicae, Tome 193 (2007) no. 2, pp. 171-179
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We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th. Schlumprecht, asserting that there exists a separable reflexive Banach space containing isomorphic copies of every separable uniformly convex Banach space.
DOI : 10.4064/fm193-2-5
Keywords: classes separable reflexive banach spaces spaces separable dual strongly bounded gives proof recent result odell schlumprecht asserting there exists separable reflexive banach space containing isomorphic copies every separable uniformly convex banach space

Pandelis Dodos  1   ; Valentin Ferenczi  2

1 Department of Mathematics Faculty of Applied Sciences National Technical University of Athens Zografou Campus 157 80 Athens, Greece
2 Équipe d'Analyse Fonctionnelle Université Pierre et Marie Curie – Paris 6 Boîte 186, 4, place Jussieu 75252 Paris Cedex 05, France 
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Pandelis Dodos; Valentin Ferenczi. Some strongly bounded classes of Banach spaces. Fundamenta Mathematicae, Tome 193 (2007) no. 2, pp. 171-179. doi: 10.4064/fm193-2-5

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