QUASISIMILARITY OF INVARIANT SUBSPACES FOR C0 OPERATORS WITH MULTIPLICITY TWO

被引：2

作者：

Clouatre, Raphael ^{[1
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

JOURNAL OF OPERATOR THEORY | 2013年 / 70卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

C-0; operators; invariant subspaces; quasisimilarity orbit; LITTLEWOOD-RICHARDSON RULE;

D O I：

10.7900/jot.2011sep19.1937

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an operator T of class C-0 with multiplicity two, we show that the quasisimilarity class of an invariant subspace M is determined by the quasisimilarity classes of the restriction T vertical bar M and of the compression T-M perpendicular to. We also provide a canonical form for the subspace M.

引用

页码：495 / 511

页数：17

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