摘要
本文研究局部凸空间中线性算子的谱理论,给出了局部凸空间中线性算子的潜映射定理、拟幂零等价算子及可分解算子的定义,研究了拟幂零等价算子与可分解算子的性质及其相互关系。
In this paper, the definitions of quasi-niipotent equivalence and decomposibility of linear operators on a locally convex space were given, and some results as in Banach spaces are obtained.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
1989年第2期9-18,共10页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
局部凸
线性拓扑空间
线性算子
locally convex linear topological space
linear operator
spectrum
resolvent set
single-valued extension property (SVEP)
quasi-nilpotent equivalence
