摘要
本文研究局部凸空间中线性算子的谱理论,在局部凸空间中证明了谱可分解算子与可分解算子的等价性,并进一步研究了局部凸空间上的可分解算子的对偶理论.
In this paper, the definitions of decomposable operators and spectrum decomposable operators on a locally convex space were given, the equivalence of two operators was proved. Some results on duality theory of decomposable operators on a locally convex space were obtained.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
1991年第2期159-166,共8页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
局部凸空间
可分解算子
对偶
谱
spectrum
local spectrum
full spectrum
decomposable operator
spectrum decomposable operator
