关键词: 线性算子, (UW_Π)性质, 拓扑一致降标, 谱

Abstract: We  gave necessary and sufficient conditions for bounded linear operators and their operator functions to satisfy the property
 (UW_Π) 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 (UW_Π).

Key words: linear operator, property (UW_Π), topological uniform descent, spectrum