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A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2

Volume 157 / 2003

Peter G. Casazza, Niels J. Nielsen Studia Mathematica 157 (2003), 1-16 MSC: 46B03, 46B07. DOI: 10.4064/sm157-1-1

Abstract

We prove that the symmetric convexified Tsirelson space is of weak cotype 2 but not of cotype 2.

Authors

  • Peter G. CasazzaDepartment of Mathematics
    University of Missouri
    Columbia, MO 65211, U.S.A.
    e-mail
  • Niels J. NielsenDepartment of Mathematics
    and Computer Science
    University of Southern Denmark
    Campusvej 55
    DK-5230 Odense M, Denmark
    e-mail

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