An indecomposable and unconditionally saturated Banach space

Tom 159 / 2003

Spiros A. Argyros, Antonis Manoussakis Studia Mathematica 159(2003), 1-32 MSC: Primary 46B20. DOI: 10.4064/sm159-1-1

Streszczenie

We construct an indecomposable reflexive Banach space $X_{\rm ius}$ such that every infinite-dimensional closed subspace contains an unconditional basic sequence. We also show that every operator $T\in {\mathcal B}(X_{\rm ius})$ is of the form $\lambda I+S$ with $S$ a strictly singular operator.

Autorzy

  • Spiros A. ArgyrosDepartment of Mathematics
    National Technical University of Athens
    Athens, Greece
    e-mail
  • Antonis ManoussakisDepartment of Sciences
    Section of Mathematics
    Technical University of Crete
    Chania, Crete, Greece
    e-mail

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