Some strongly bounded classes of Banach spaces

• Autorzy: Pandelis Dodos , Valentin Ferenczi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 03E15: Descriptive set theory
• 46B03: Isomorphic theory (including renorming) of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2007
• Tom: 193
• Numer: 2
• Strony: 171-179

Daty

wydano

2007

Twórcy

autor

Pandelis Dodos

• Department of Mathematics, Faculty of Applied Sciences, National Technical University of Athens, Zografou Campus, 157 80 Athens, Greece

autor

Valentin Ferenczi

• Équipe d'Analyse Fonctionnelle, Université Pierre et Marie Curie - Paris 6, Boîte 186, 4, place Jussieu, 75252 Paris Cedex 05, France

Identyfikatory

DOI

10.4064/fm193-2-5