Computation of Krein space numerical ranges of 2 x 2 matrices

被引：0
|
作者：
An, Il Ju [1 ]
Heo, Jaeseong [2 ]
机构：
[1] Kyung Hee Univ, Dept Appl Math, Seoul, South Korea
[2] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 40763, South Korea
来源：
FILOMAT | 2024年 / 38卷 / 07期
基金：
新加坡国家研究基金会;
关键词：
Krein space numerical range; fundamental symmetry; joint numerical ranges; OPERATORS;
D O I：
10.2298/FIL2407297A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study some properties of the Krein space J-numerical ranges and compute the Krein space J-numerical ranges of some 2 x 2 complex matrices with respect to several fundamental symmetries. We also compare the direct computation of Krein space J-numerical ranges with the computation via the joint numerical ranges. Finally, we discuss the Krein space J-numerical ranges of upper triangular matrices.
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页码：2297 / 2309
页数：13
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