Operator Valued Fourier Multipliers and Stability of Strongly Continuous Semigroups

被引：0
|
作者：
Yuri Latushkin
Frank Räbiger
机构：
[1] University of Missouri,Department of Mathematics
[2] University of Tübingen,Department of Mathematics
来源：
Integral Equations and Operator Theory | 2005年 / 51卷
关键词：
Primary 47D03; 34G10; Secondary 93D25; Asymptotics for strongly continuous semigroups; operator valued Fourier multipliers; input output stability; transfer function;
D O I：
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学科分类号：
摘要：
Stability for strongly continuous semigroups on Banach spaces is described in terms of Lp–Fourier multiplier properties of the resolvent of the generator. A discrete version of this theory is developed, that lead to a description of the spectra of the semigroups in terms of discrete Lp–Fourier multipliers. Applications to stability of linear control systems on Banach spaces are given.
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页码：375 / 394
页数：19
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