Perturbations of invariant subspaces of operators with Hilbert–Schmidt Hermitian components

被引：0
作者：
Michael Gil’
机构：
[1] Ben Gurion University of the Negev,Department of Mathematics
来源：
Archiv der Mathematik | 2015年 / 105卷
关键词：
Hilbert space; Linear operators; Invariant subspaces; Perturbations; Operators with Hilbert–Schmidt Hermitian components; 47A15; 47A55; 47B10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper deals with bounded non-selfadjoint operators having Hilbert–Schmidt imaginary Hermitian components. A perturbation bound for invariant subspaces is established. Our results can be considered as a particular generalization of the well-known Davis–Kahan sin θ-theorem for selfadjoint operators.
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页码：447 / 452
页数：5
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