On the boundary of numerical ranges of operators

被引：5

作者：

Zhang, Hai-Yan ^{[1
]}

Dou, Yan-Ni ^{[1
]}

Wang, Mei-Feng ^{[1
]}

Du, Hong-Ke ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Numerical range; Boundary;

D O I：

10.1016/j.aml.2010.11.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, a new characterization of an attained boundary point of the numerical range of an operator on a Hilbert space is given. As an application, we point out a gap in the proof of the main result in the paper [M.T. Chien, L Yeh, On the boundary of the numerical range of a matrix, Appl. Math. Lett. 23 (2010) 725-727]. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：620 / 622

页数：3

共 7 条

[1] On the boundary of the numerical range of a matrix
Chien, Mao-Ting
Yeh, Lina
[J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (06) : 725 - 727
[2] LINEARITY AND WEAK-CONVERGENCE ON THE BOUNDARY OF NUMERICAL RANGE
DAS, KC
CRAVEN, BD
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1983, 35 (OCT): : 221 - 226
[3] HALMOS P. R., 2012, HILBERT SPACE PROBLE, V19
[4] Numerical range and numerical radius for some operators
Karaev, M. T.
Iskenderov, N. Sh.
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (12) : 3149 - 3158
[5] PSARRAKOS PJ, 2002, MATH NOTES WSU, V45
[6] PSARRAKOS PJ, 2003, MATH NOTES WSU, V46
[7] PERTURBATION BOUNDS FOR THE DEFINITE GENERALIZED EIGENVALUE PROBLEM
STEWART, GW
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1979, 23 (FEB) : 69 - 85

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