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Characterising subspaces of Banach spaces with a Schauder basis having the shift property

Volume 207 / 2011

Christian Rosendal Studia Mathematica 207 (2011), 59-73 MSC: Primary 46B03. DOI: 10.4064/sm207-1-4

Abstract

We give an intrinsic characterisation of the separable reflexive Banach spaces that embed into separable reflexive spaces with an unconditional basis all of whose normalised block sequences with the same growth rate are equivalent. This uses methods of E. Odell and T. Schlumprecht.

Authors

  • Christian RosendalDepartment of Mathematics, Statistics, and Computer Science (M/C 249)
    University of Illinois at Chicago
    851 S. Morgan St.
    Chicago, IL 60607-7045, U.S.A.
    e-mail

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