This is an announcement for the paper "Some strongly bounded classes of Banach spaces" by Pandelis Dodos and Valentin Ferenczi.

Abstract: 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 spaces.

Archive classification: Functional Analysis

Mathematics Subject Classification: 03E15; 46B03

Remarks: 10 pages

The source file(s), DFversion18.tex: 27085 bytes, is(are) stored in gzipped form as 0605475.gz with size 9kb. The corresponding postcript file has gzipped size 52kb.

Submitted from: ferenczi@ccr.jussieu.fr

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