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Composition of $(E,2)$-summing operators

Tom 159 / 2003

Andreas Defant, Mieczysław Mastyło Studia Mathematica 159 (2003), 51-65 MSC: Primary 47B10, 47L20; Secondary 46B70, 47B06. DOI: 10.4064/sm159-1-3

Streszczenie

The Banach operator ideal of $(q,2)$-summing operators plays a fundamental role within the theory of $s$-number and eigenvalue distribution of Riesz operators in Banach spaces. A key result in this context is a composition formula for such operators due to H. König, J. R. Retherford and N. Tomczak-Jaegermann. Based on abstract interpolation theory, we prove a variant of this result for $(E,2)$-summing operators, $E$ a symmetric Banach sequence space.

Autorzy

  • Andreas DefantFachberich Mathematik
    Carl von Ossietzky Universität
    Postfach 2503
    D-26111 Oldenburg, Germany
    e-mail
  • Mieczysław MastyłoFaculty of Mathematics
    and Computer Science
    Adam Mickiewicz University
    and
    Institute of Mathematics
    Polish Academy of Sciences
    (Poznań branch)
    Umultowska 87
    61-614 Poznań, Poland
    e-mail

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