Criteria for the Absence of Point Spectrum on the Boundary of the Numerical Range of Tridiagonal Matrices

被引：0
|
作者：
P. D. Srivastava
Riddhick Birbonshi
Arnab Patra
机构：
[1] Indian Institute of Technology Kharagpur,Department of Mathematics
[2] Indian Institute of Technology Bhilai,Department of Mathematics
来源：
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences | 2020年 / 90卷
关键词：
Spectrum of an operator; Infinite matrices; Sequence spaces; Numerical range; 47A12; 47A10;
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学科分类号：
摘要：
In this paper, we have obtained some conditions under which the boundary of the numerical range of tridiagonal matrices has no point spectrum. As a consequence of these results, the boundary of the numerical range of these tridiagonal matrices may be non-round only at the points where it touches the essential spectrum.
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页码：245 / 250
页数：5
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