局部凸空间上的可分解算子及其对偶理论  

DECOMPOSABLE OPERATORS ON A LOCALLY CONVEX SPACE AND THEIR DUALITY THEORY

作　　者：李扬荣[1] 

机构地区：[1]西南师范大学数学系

出　　处：《西南师范大学学报（自然科学版）》1991年第2期159-166,共8页Journal of Southwest China Normal University(Natural Science Edition)

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.

关 键 词：局部凸空间 可分解算子 对偶 谱 

分 类 号：O177.3[理学—数学]