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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Szlenk index of Orlicz sequence spaces
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by Laetitia Borel-Mathurin PDF
Proc. Amer. Math. Soc. 138 (2010), 2043-2050 Request permission

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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Additional Information
  • 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
  • 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
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 2043-2050
  • MSC (2010): Primary 46B20, 46T99; Secondary 46B03, 46B45
  • DOI: https://doi.org/10.1090/S0002-9939-10-10213-5
  • MathSciNet review: 2596040