A resolvent condition implying power boundedness

被引：1
|
作者：
Nagy, B
Zemánek, J
机构：
[1] Tech Univ Budapest, Math Inst, H-1521 Budapest 11, Hungary
[2] Polish Acad Sci, Inst Math, PL-00950 Warsaw, Poland
来源：
STUDIA MATHEMATICA | 1999年 / 134卷 / 02期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：143 / 151
页数：9
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