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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The Szlenk index of Orlicz sequence spaces


Author: Laetitia Borel-Mathurin
Journal: Proc. Amer. Math. Soc. 138 (2010), 2043-2050
MSC (2010): Primary 46B20, 46T99; Secondary 46B03, 46B45
Published electronically: January 7, 2010
MathSciNet review: 2596040
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Abstract: We provide explicit estimates of the Szlenk indices of Orlicz sequence spaces. Applications are given to uniform homeomorphisms between subspaces and quotients of Orlicz spaces.


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Laetitia Borel-Mathurin
Affiliation: Institut de Mathématiques de Jussieu - Équipe d’Analyse Fonctionnelle, Université Pierre et Marie Curie, Boîte 186, 4 place Jussieu, 75252 Paris Cedex 05, France
Email: borel@math.jussieu.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-10-10213-5
PII: S 0002-9939(10)10213-5
Received by editor(s): June 3, 2009
Received by editor(s) in revised form: September 10, 2009, and September 14, 2009
Published electronically: January 7, 2010
Communicated by: Nigel J. Kalton
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.