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.

引用

页码：15 / 21

页数：6

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