摘要
本文研究局部凸空间上一类线性算子的非平凡超不变子空间存在性问题.推广了著名的V.Lomonosov定理和C.M.Pearcy定理.并给出一类线性算子非平凡超不变子空间存在的充分条件.
This paper studies the existing of nontrivial hyperinvariant subspaces for a class of linear operators on locally convex spaces. The author has extended the wellknown V. Lomonosov Theorem and C. M. Pearcy Theorem, and given some sufficient existing conditions for what the above has mentioned.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
1991年第4期412-419,共8页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
局部凸空间
线性算子
超不变子空间
locally convex spaces
compact operator
bounded linear operator
eigenvalue
hyperinvariant subspaces
