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].
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页码：493 / 511
页数：19
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