On weak decay rates and uniform stability of bounded linear operators

被引：5

作者：

Glueck, Jochen ^{[1
]}

机构：

[1] Univ Ulm, Inst Appl Anal, D-89069 Ulm, Germany

来源：

ARCHIV DER MATHEMATIK | 2015年 / 104卷 / 04期

关键词：

Weak stability; Uniform stability; Spectral radius; Decay rates; Domination; Principal ideal; EXPONENTIAL STABILITY; ORBITS;

D O I：

10.1007/s00013-015-0746-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a bounded linear operator T on a complex Banach space X and show that its spectral radius r(T) satisfies r(T) < 1 if all sequences () are, up to a certain rearrangement, contained in a principal ideal of the space c (0) of sequences which converge to 0. From this result we obtain generalizations of theorems of Weiss and van Neerven. We also prove a related result on C (0)-semigroups.

引用

页码：347 / 356

页数：10

共 15 条

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