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

共 50 条

[21] FINDING PLANTED SUBGRAPHS WITH FEW EIGENVALUES USING THE SCHUR-HORN RELAXATION
Candogan, Utkan Onur
Chandrasekaran, Venkat
SIAM JOURNAL ON OPTIMIZATION, 2018, 28 (01) : 735 - 759
[22] A SURVEY ON THE INTERPLAY BETWEEN ARITHMETIC MEAN IDEALS, TRACES, LATTICES OF OPERATOR IDEALS, AND AN INFINITE SCHUR-HORN MAJORIZATION THEOREM
Kaftal, Victor
Weiss, Gary
HOT TOPICS IN OPERATOR THEORY, CONFERENCE PROCEEDINGS, 2008, : 101 - 135
[23] Non-commutative Schur-Horn theorems and extended majorization for Hermitian matrices
Massey, Pedro G.
LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (04): : 465 - 480
[24] Geometric proofs of some theorems of Schur-Horn type (vol 286, pg 147, 1999)
Leite, RS
Richa, TRW
Tomei, C
LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 400 : 355 - 355
[25] A SCHUR-HORN-KOSTANT CONVEXITY THEOREM FOR THE DIFFEOMORPHISM GROUP OF THE ANNULUS
BLOCH, AM
FLASCHKA, H
RATIU, T
INVENTIONES MATHEMATICAE, 1993, 113 (03) : 511 - 529
[26] A Brief Survey on 1. Infinite-dimensional Schur-Horn Theorems and Infinite Majorization Theory with Applications to Operator Ideals 2. B(H)-subideals of Operators
Weiss, Gary
ALGEBRAIC METHODS IN FUNCTIONAL ANALYSIS: THE VICTOR SHULMAN ANNIVERSARY VOLUME, 2014, 233 : 281 - 294
[27] ON A GENERALIZATION OF HORN FIXED-POINT THEOREM
HUANG, FL
LIANG, J
XIO, TJ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 164 (01) : 34 - 39
[28] On a fixed point theorem for the product of operators
Cichon, Mieczyslaw
Metwali, Mohamed M. A.
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2016, 18 (04) : 753 - 770
[29] On a fixed point theorem for the product of operators
Mieczysław Cichoń
Mohamed M. A. Metwali
Journal of Fixed Point Theory and Applications, 2016, 18 : 753 - 770
[30] ON THE POINT SPECTRUM OF DIRAC OPERATORS
BERTHIER, A
GEORGESCU, V
JOURNAL OF FUNCTIONAL ANALYSIS, 1987, 71 (02) : 309 - 338

← 1 2 3 4 5 →