THE NUMERICAL RADII OF WEIGHTED SHIFT MATRICES AND OPERATORS

被引：13

作者：

Chien, Mao-Ting ^{[1
]}

Sheu, Hue-An ^{[1
]}

机构：

[1] Soochow Univ, Dept Math, Taipei 11102, Taiwan

来源：

OPERATORS AND MATRICES | 2013年 / 7卷 / 01期

关键词：

Numerical range; numerical radius; weighted shift operator; RANGE;

D O I：

10.7153/oam-07-11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be an operator on a separable Hilbert space. The numerical range of A is defined as W(A) = {< Ax,x > : parallel to x parallel to = 1}. It is known that the numerical range of a weighted shift operator is a circular disk. In this paper, we compute and compare the numerical radii of certain weighted shift matrices and operators.

引用

页码：197 / 204

页数：8

共 9 条

[1] MAPPING THEOREMS FOR NUMERICAL RANGE [J].