LYAPUNOV THEOREMS FOR BANACH-SPACES

被引：17
|
作者：
LATUSHKIN, Y
MONTGOMERYSMITH, S
机构：
来源：
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 31卷 / 01期
关键词：
HYPERBOLICITY; EVOLUTION FAMILY; EXPONENTIAL DICHOTOMY; WEIGHTED COMPOSITION OPERATORS; SPECTRAL MAPPING THEOREM;
D O I：
10.1090/S0273-0979-1994-00495-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a spectral mapping theorem for semigroups on any Banach space E. From this, we obtain a characterization of exponential dichotomy for nonautonomous differential equations for E-valued functions. This characterization is given in terms of the spectrum of the generator of the semigroup of evolutionary operators.
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页码：44 / 49
页数：6
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