A Generalized Version of the Abelian Mean Ergodic Theorem with Rates for Semigroup Operators and Fractional Powers of Infinitesimal Generators

被引：0
作者：
Westphal U. [1 ]
机构：
[1] Institut für Mathematik, Universität Hannover, Weifengarten 1, Hannover
来源：
Results in Mathematics | 1998年 / 34卷 / 3-4期
关键词：
Abel averages of semigroups; fractional powers of operators; mean ergodic theorem; Semigroups of operators;
D O I：
10.1007/BF03322063
中图分类号：
学科分类号：
摘要：
This note is concerned with the rate of convergence in a mean ergodic theorem for fractional powers of Abel averages of semigroup operators. Characterizations of optimal and non-optimal approximation in terms of K-functionals are given; they involve fractional powers of the infinitesimal generator of the underlying semigroup. © 1998, Birkh/:auser Verlag, Basel.
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页码：381 / 394
页数：13
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