Coburn Type Operators and Compact Perturbations
Coburn Type Operators and Compact Perturbations
复制标题
Coburn 型算子和紧扰动
DOI：
10.1007/s11401-021-0285-2
复制
发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Wang Chaoyue
中科院分区：
文献类型：
--
作者：
Zhou Tingting;Liang Bin;Wang Chaoyue
一个作用在Hilbert空间上的有界线性算子T称为Coburn算子，如果对每个λ ∈ C，ker（T- λ）= {0}或ker（T -λ）* = {0}.本文定义了Hilbert空间算子的其它Coburn型性质，并研究了具有Coburn型性质的算子的紧扰动.他们的特点是，这些运营商有任意小的紧扰动有一些固定的Coburn属性。此外，他们还研究了这些性质在小的紧扰动下的稳定性。
A bounded linear operator T acting on a Hilbert space is called Coburn operator if ker(T – λ) = {0} or ker(T –λ)* = {0} for each λ Є C. In this paper, the authors define other Coburn type properties for Hilbert space operators and investigate the compact perturbations of operators with Coburn type properties. They characterize those operators for which has arbitrarily small compact perturbation to have some fixed Coburn property. Moreover, they study the stability of these properties under small compact perturbations.