循环群和r -循环矩阵的转置

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Operator Theory Pub Date : 2019-11-01 DOI:10.7900/jot.2019oct09.2281

Octavio Arizmendi, J. Mingo

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引用次数: 1

摘要

利用循环群证明了r循环矩阵的转置可以沿对角部分分解为对角标量矩阵上自由独立部分的和。此外，如果r循环矩阵是自伴随的，则非对角部分是r对角的。

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The cyclic group and the transpose of an R-cyclic matrix

We show that using the cyclic group the transpose of an R-cyclic matrix can be decomposed along diagonal parts into a sum of parts which are freely independent over diagonal scalar matrices. Moreover, if the R-cyclic matrix is self-adjoint then the off-diagonal parts are R-diagonal.

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.