Geodesic
A resolvent condition implying power boundedness
Studia Mathematica, Tome 134 (1999) no. 2, pp. 143-151

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-134-2-143-151

Béla Nagy 1 ; Jaroslav Zemánek 1

1 
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Béla Nagy; Jaroslav Zemánek. A resolvent condition implying power boundedness. Studia Mathematica, Tome 134 (1999) no. 2, pp. 143-151. doi: 10.4064/sm-134-2-143-151

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