Spectral analysis of differential operators with unbounded operator coefficients in weighted spaces of functions

被引：0
|
作者：
M. S. Bichegkuev
机构：
[1] North-Ossetian State University,
来源：
Mathematical Notes | 2014年 / 95卷
关键词：
differential operator; weighted spaces of functions; spectral properties of operators; evolution operator; exponential dichotomy; Howland difference operator; Banach space; spectrum mapping theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The spectral properties of operators constructed from a family of evolution operators are studied in Banach spaces of vector functions defined by a weight function of pre-exponential growth. Necessary and sufficient conditions for the invertibility of such operators are obtained in terms of exponential dichotomy. We prove a spectrum mapping theorem for semigroups of Howland difference operators generated by the operator under study.
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页码：15 / 21
页数：6
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