A resolvent condition implying power boundedness

Béla Nagy; Jaroslav Zemánek

Studia Mathematica (1999)

  • Volume: 134, Issue: 2, page 143-151
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Nagy, Béla, and Zemánek, Jaroslav. "A resolvent condition implying power boundedness." Studia Mathematica 134.2 (1999): 143-151. <http://eudml.org/doc/216628>.

@article{Nagy1999,
abstract = {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.},
author = {Nagy, Béla, Zemánek, Jaroslav},
journal = {Studia Mathematica},
keywords = {resolvent condition; Ritt condition},
language = {eng},
number = {2},
pages = {143-151},
title = {A resolvent condition implying power boundedness},
url = {http://eudml.org/doc/216628},
volume = {134},
year = {1999},
}

TY - JOUR
AU - Nagy, Béla
AU - Zemánek, Jaroslav
TI - A resolvent condition implying power boundedness
JO - Studia Mathematica
PY - 1999
VL - 134
IS - 2
SP - 143
EP - 151
AB - 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.
LA - eng
KW - resolvent condition; Ritt condition
UR - http://eudml.org/doc/216628
ER -

References

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