On the numerical range of some weighted shift matrices and operators

被引：9

作者：

Vandanjav, Adiyasuren ^{[1
]}

Undrakh, Batzorig ^{[2
]}

机构：

[1] Natl Univ Mongolia, Dept Math, Ulaanbaatar, Mongolia

[2] Natl Univ Mongolia, Inst Math, Ulaanbaatar, Mongolia

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2014年 / 449卷

关键词：

Numerical range; Numerical radius; Weighted shift operators; RADIUS;

D O I：

10.1016/j.laa.2014.02.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we compute and compare the numerical radii of certain weighted shift matrices. Also we compute the numerical radius of a weighted shift operator on the Hardy space H-2. The purpose of this paper is to develop results in [7]. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：76 / 88

页数：13

共 50 条

[31] Some results on the k-numerical range of quaternion matrices [J].

Aghamollaei, Gholamreza ;

Aboutalebi, Narges Haj ;

Kermani, Hossein Momenaee .

LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (12) :2419-2430

[32] On the numerical range and norm of elementary operators [J].

Seddik, A .

LINEAR & MULTILINEAR ALGEBRA, 2004, 52 (3-4) :293-302

[33] Weighted shift operators and extended eigenvalues [J].

Hussein, Kareem M. ;

Ahmed, Buthainah A. .

JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2023, 26 (05) :849-855

[34] ON NUMERICAL RANGE AND NUMERICAL RADIUS OF CONVEX FUNCTION OPERATORS [J].

Zaiz, Khaoula ;

Mansour, Abdelouahab .

KOREAN JOURNAL OF MATHEMATICS, 2019, 27 (04) :879-898

[35] Weighted Numerical Radius Inequalities for Operators and 2x2 Operator Matrices [J].

Ammar, Aicha ;

Frakis, Abdelkader ;

Kittaneh, Fuad .

KYUNGPOOK MATHEMATICAL JOURNAL, 2025, 65 (01) :63-75

[36] NUMERICAL RANGE FOR WEIGHTED MOORE-PENROSE INVERSE OF TENSOR [J].

Be, Aaisha ;

Shekhar, Vaibhav ;

Mishra, Debasisha .

ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2024, 40 :140-171

[37] Determinantal polynomials of weighted shift matrices with palindromic harmonic weights [J].

Chakraborty, Bikshan ;

Ojha, Sarita ;

Birbonshi, Riddhick .

ADVANCES IN OPERATOR THEORY, 2023, 8 (03)

[38] Proof of a conjecture on numerical ranges of weighted cyclic matrices [J].

Gau, Hwa-Long .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2024, 682 :295-308

[39] Singular points of cyclic weighted shift matrices [J].

Chien, Mao-Ting ;

Nakazato, Hiroshi .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (12) :4090-4100

[40] Numerical range for random matrices [J].

Collins, Benoit ;

Gawron, Piotr ;

Litvak, Alexander E. ;

Zyczkowski, Karol .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 418 (01) :516-533

← 1 2 3 4 5 →