The numerical range of some periodic tridiagonal operators is the convex hull of the numerical ranges of two finite matrices

被引：1
|
作者：
Itza-Ortiz, Benjamin A. [1 ]
Martinez-Avendano, Ruben A. [2 ]
Nakazato, Hiroshi [3 ]
机构：
[1] Univ Autonoma Estado Hidalgo, Ctr Invest Matemat, Pachuca, Hidalgo, Mexico
[2] Inst Tecnol Autonomo Mexico, Dept Acad Matemat, Mexico City, DF, Mexico
[3] Hirosaki Univ, Dept Math & Phys, Hirosaki, Aomori, Japan
来源：
LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 15期
关键词：
Numerical range; tridiagonal operators; SPECTRUM;
D O I：
10.1080/03081087.2021.1957760
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove a conjecture stated by the first two authors establishing the closure of the numerical range of a certain class of n + 1-periodic tridiagonal operators as the convex hull of the numerical ranges of two tridiagonal (n + 1) x (n + 1) matrices. Furthermore, when n + 1 is odd, we show that the size of such matrices simplifies to n/2 + 1.
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页码：2830 / 2849
页数：20
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