A resolvent condition implying power boundedness

Nagy, Béla ; Zemánek, Jaroslav

Studia Mathematica, Tome 133 (1999), p. 143-151 / Harvested from The Polish Digital Mathematics Library

Résumé

The Ritt and Kreiss resolvent conditions are related to the behaviour of the powers and their various means. In particular, it is shown that the Ritt condition implies the power boundedness. This improves the Nevanlinna characterization of the sublinear decay of the differences of the consecutive powers in the Esterle-Katznelson-Tzafriri theorem, and actually characterizes the analytic Ritt condition by two geometric properties of the powers.

Détail

Publié le : 1999-01-01

Zbl 0934.47002

EUDML-ID : urn:eudml:doc:216628

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