Determinantal polynomials of a weighted shift operator

被引：2

作者：

Chien, Mao-Ting ^{[1
]}

Nakazato, Hiroshi ^{[2
]}

Undrakh, Batzorig ^{[3
]}

Vandanjav, Adiyasuren ^{[4
]}

机构：

[1] Soochow Univ, Dept Math, Taipei, Taiwan

[2] Hirosaki Univ, Fac Sci & Technol, Dept Math Sci, Hirosaki, Aomori, Japan

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

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

来源：

LINEAR & MULTILINEAR ALGEBRA | 2016年 / 64卷 / 01期

关键词：

weighted shift operator; q-analog; numerical radius; point spectrum; 47A12; 47B37; NUMERICAL RANGE;

D O I：

10.1080/03081087.2014.1003528

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A q-analog expression of the determinantal polynomial of a weighted shift operator is introduced and applied to find the numerical radius of the operator.

引用

页码：2 / 13

页数：12

共 50 条

[21] Weighted shift operators, orthogonal polynomials and chain sequences
Lasser, Rupert
Obermaier, Josef
ACTA SCIENTIARUM MATHEMATICARUM, 2020, 86 (1-2): : 331 - 342
[22] Weighted shift operators, orthogonal polynomials and chain sequences
Rupert Lasser
Josef Obermaier
Acta Scientiarum Mathematicarum, 2020, 86 : 331 - 342
[23] Determinantal Representations of Semihyperbolic Polynomials
Knese, Greg
MICHIGAN MATHEMATICAL JOURNAL, 2016, 65 (03) : 473 - 487
[24] Determinantal expressions for Macdonald polynomials
Lapointe, L
Lascoux, A
Morse, J
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 1998, 1998 (18) : 957 - 978
[25] Polynomials with and without determinantal representations
Netzer, Tim
Thom, Andreas
LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (07) : 1579 - 1595
[26] Symmetric determinantal representation of polynomials
Quarez, Ronan
LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (09) : 3642 - 3660
[27] DETERMINANTAL VARIETIES AND SYMMETRIC POLYNOMIALS
PRAGACZ, P
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1987, 21 (03) : 249 - 250
[28] A determinantal approach to Appell polynomials
Costabile, F. A.
Longo, E.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (05) : 1528 - 1542
[29] THE NUMERICAL RADIUS OF A WEIGHTED SHIFT OPERATOR WITH GEOMETRIC WEIGHTS
Chien, Mao-Ting
Nakazato, Hiroshi
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2009, 18 : 58 - 63
[30] CESARO OPERATOR IS NOT SIMILAR TO A WEIGHTED SHIFT - PRELIMINARY REPORT
KRIETE, TL
TRUTT, D
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (06): : 958 - &

← 1 2 3 4 5 →