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Resolvent conditions and powers of operators

Tom 145 / 2001

Olavi Nevanlinna Studia Mathematica 145 (2001), 113-134 MSC: 47A10, 30G30. DOI: 10.4064/sm145-2-2

Streszczenie

We discuss the relation between the growth of the resolvent near the unit circle and bounds for the powers of the operator. Resolvent conditions like those of Ritt and Kreiss are combined with growth conditions measuring the resolvent as a meromorphic function.

Autorzy

  • Olavi NevanlinnaHelsinki University of Technology
    Insitute of Mathematics
    P.O. Box 1100
    FIN-02015 HUT, Finland
    e-mail

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