The Schur-Horn theorem for operators with three point spectrum

被引：16

作者：

Jasper, John ^{[1
]}

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2013年 / 265卷 / 08期

关键词：

Diagonals of self-adjoint operators; Schur-Horn theorem; Pythagorean theorem; Carpenter's theorem; PYTHAGOREAN THEOREM; DIAGONALS; FRAMES; NORMS;

D O I：

10.1016/j.jfa.2013.06.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the set of diagonals of the unitary orbit of a self-adjoint operator with three points in the spectrum. Our result gives a Schur-Horn theorem for operators with three point spectrum analogous to Kadison's Pythagorean theorem and carpenter's theorem, which characterize the diagonals of orthogonal projections. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：1494 / 1521

页数：28

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