Some strongly bounded classes of Banach spaces
Pandelis Dodos ; Valentin Ferenczi
Fundamenta Mathematicae, Tome 193 (2007), p. 171-179 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:282956 
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     pages = {171-179},
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Pandelis Dodos; Valentin Ferenczi. Some strongly bounded classes of Banach spaces. Fundamenta Mathematicae, Tome 193 (2007) pp. 171-179. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm193-2-5/