Cauchy-Toeplitz矩阵和交换矩阵对易子的Frobenius范数

IF 0.8 4区数学 Q2 MATHEMATICS Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI:10.55730/1300-0098.3447

Süleyman Solak, M. Bahşı

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引用次数: 0

摘要

矩阵换向子和反换向子在数学、数学物理和量子物理中起着重要的作用。两个n × n复矩阵A和B的对易子和反对易子分别定义为[A, B] = AB−BA和(A, B) = AB + BA。Cauchy-Toeplitz矩阵和交换矩阵是两种特殊的矩阵，它们具有优异的性质。本文主要研究Cauchy-Toeplitz矩阵和交换矩阵的交换子的Frobenius范数。并给出了Cauchy-Toeplitz矩阵和交换矩阵对易子的Frobenius范数的上界和下界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Frobenius norm of commutator of Cauchy-Toeplitz matrix and exchange matrix

: Matrix commutator and anticommutator play an important role in mathematics, mathematical physic, and quantum physic. The commutator and anticommutator of two n × n complex matrices A and B are defined by [ A, B ] = AB − BA and ( A, B ) = AB + BA , respectively. Cauchy-Toeplitz matrix and exchange matrix are two of the special matrices and they have excellent properties. In this study, we mainly focus on Frobenius norm of the commutator of Cauchy-Toeplitz matrix and exchange matrix. Moreover, we give upper and lower bounds for the Frobenius norm of the commutator of Cauchy-Toeplitz matrix and exchange matrix.

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来源期刊

Turkish Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

161

审稿时长

6-12 weeks

期刊介绍： The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics. Contribution is open to researchers of all nationalities.

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