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Remarks on rich subspaces of Banach spaces

Volume 159 / 2003

Vladimir Kadets, Nigel Kalton, Dirk Werner Studia Mathematica 159 (2003), 195-206 MSC: Primary 46B20; Secondary 46B04, 46M05, 47B38. DOI: 10.4064/sm159-2-3

Abstract

We investigate rich subspaces of $L_1$ and deduce an interpolation property of Sidon sets. We also present examples of rich separable subspaces of nonseparable Banach spaces and we study the Daugavet property of tensor products.

Authors

  • Vladimir KadetsFaculty of Mechanics and Mathematics
    Kharkov National University
    pl. Svobody 4
    61077 Kharkov, Ukraine
    and
    Department of Mathematics
    Freie Universität Berlin
    Arnimallee 2–6
    D-14195 Berlin, Germany
    e-mail
    e-mail
  • Nigel KaltonDepartment of Mathematics
    University of Missouri
    Columbia, MO 65211, U.S.A.
    e-mail
  • Dirk WernerDepartment of Mathematics
    Freie Universität Berlin
    Arnimallee 2–6
    D-14195 Berlin, Germany
    e-mail

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