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Polynomials in the Volterra and Ritt operators

Tom 67 / 2005

Dashdondog Tsedenbayar, Jaroslav Zemánek Banach Center Publications 67 (2005), 385-390 MSC: 47A10, 47A35, 47G10. DOI: 10.4064/bc67-0-31

Streszczenie

We continue the paper [Ts] on the boundedness of polynomials in the Volterra operator. This provides new ways of constructing power-bounded operators. It seems interesting to point out that a similar procedure applies to the operators satisfying the Ritt resolvent condition: compare Theorem 5 and Theorem 9 below.

Autorzy

  • Dashdondog TsedenbayarUFR Mathématiques
    Université de Lille I
    59655 Villeneuve d'Ascq Cedex
    France
    e-mail
  • Jaroslav ZemánekInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    P.O. Box 21
    00-956 Warszawa
    Poland
    e-mail

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