Invariant subspaces of nilpotent operators and LR-sequences

被引：4

作者：

Li, WS ^{[1
]}

Müller, V

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[2] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1999年 / 34卷 / 02期

基金：

美国国家科学基金会;

关键词：

Primary 15A21; secondary 15A23; 47A15;

D O I：

10.1007/BF01236472

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to study systematically invariant subspaces of finite-dimensional nilpotent operators. Our main motivation comes from classifying the similarity orbit in the lattice of invariant subspaces of a given nilpotent operator. We give a detailed study of the Littlewood-Richardson similarity orbit. We show that none of the "natural" similarity relations is equivalent with the others.

引用

页码：197 / 226

页数：30

共 12 条

[1]

[Anonymous], 1971, LONDON MATH SOC LECT

[2]

Azenhas O., 1990, LIN MULTILIN ALGEBRA, V27, P229

[3] THE INVARIANT SUBSPACES OF A UNIFORM JORDAN OPERATOR [J].