Continuous versions of the Littlewood-Richardson rule, selfadjoint operators, and invariant subspaces

被引：0

作者：

Bercovici, H ^{[1
]}

Li, WS

Smotzer, T

机构：

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

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

[3] Youngstown State Univ, Dept Math, Youngstown, OH 44555 USA

来源：

JOURNAL OF OPERATOR THEORY | 2005年 / 54卷 / 01期

关键词：

Horn inequalities; Littlewood-Richardson rule; invariant subspaces; selfadjoint operator;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the equivalence of two continuous versions of the Littlewood-Richardson rule. We also show how these rules give alternate characterizations for the eigenvalues of a sum of compact selfadjoint operators. Finally, applications to the invariant subspaces of nilpotent one parameter operator semigroups are given.

引用

页码：69 / 92

页数：24

共 18 条

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