INVARIANT SUBSPACES FOR FRECHET SPACES WITHOUT CONTINUOUS NORM

被引：0

作者：

Menet, Quentin ^{[1
]}

机构：

[1] Univ Mons, Dept Math, 20 Pl Parc, B-7000 Mons, Belgium

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 08期

关键词：

Invariant subspaces; Frechet spaces; OPERATOR;

D O I：

10.1090/proc/15418

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (X, (p(j))) be a Frechet space with a Schauder basis and without continuous norm, where (p(j)) is an increasing sequence of seminorms inducing the topology of X. We show that X satisfies the Invariant Subspace Property if and only if there exists j(0) >= 1 such that ker p(j+1) is of finite codimension in ker p(j) for every j >= j(0).

引用

页码：3379 / 3393

页数：15

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