Stability of C0-semigroups and geometry of Banach spaces

被引：10

作者：

Chill, R ^{[1
]}

Tomilov, Y

机构：

[1] Univ Ulm, Abt Angew Anal, D-89069 Ulm, Germany

[2] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2003年 / 135卷

关键词：

D O I：

10.1017/S0305004103006893

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain new stability conditions for C-0-semigroups on Banach spaces having nontrivial Fourier type. On Hilbert spaces these conditions are sharp. For C-0-semigroups on general Banach spaces, we prove a new individual stability criterion. We also show that stronger versions of the range stability condition from [4] are not necessary for stability. This answers an open problem from [4].

引用

页码：493 / 511

页数：19

共 33 条

[1]

[Anonymous], GRADUATE TEXTS MATH

[2]

Arendt W., 2001, MONOGRAPHS MATH, V96

[3] STABILITY OF INDIVIDUAL ELEMENTS UNDER ONE-PARAMETER SEMIGROUPS [J].