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Spaces with maximal projection constants

Tom 159 / 2003

Hermann König, Nicole Tomczak-Jaegermann Studia Mathematica 159 (2003), 357-372 MSC: Primary 46B20. DOI: 10.4064/sm159-3-2

Streszczenie

We show that $n$-dimensional spaces with maximal projection constants exist not only as subspaces of $l_\infty $ but also as subspaces of $l_1$. They are characterized by a rigid set of vector conditions. Nevertheless, we show that, in general, there are many non-isometric spaces with maximal projection constants. Several examples are discussed in detail.

Autorzy

  • Hermann KönigMathematisches Seminar
    Universität Kiel
    24098 Kiel, Germany
    e-mail
  • Nicole Tomczak-JaegermannDepartment of Mathematical
    and Statistical Sciences
    University of Alberta
    Edmonton TG2 2G1, Canada
    e-mail

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