线性算子的拓扑一致降标性质与(UW_(Π))性质

Topological Uniform Descent Property andProperty(UWΠ)for Linear Operators

利用拓扑一致降标性质定义的谱集、常用谱集和算子本身的一些性质,给出有界线性算子及其算子函数满足(UWΠ)性质的充要条件,并讨论(UWΠ)性质的摄动问题.

We gave necessary and sufficient conditions for bounded linear operators and their operator functions to satisfy the property(UWΠ)by using the spectrum sets defined by topological uniform descent property,commonly used spectrum sets and some properties of operators themselves,and discussed the perturbation problems of property(UWΠ).