关于低维偏等距

IF 0.7 4区数学 Q2 Mathematics

Electronic Journal of Linear Algebra Pub Date : 2022-06-05 DOI:10.13001/ela.2023.7405

Qixiao He, I. Spitkovsky, I. Suleiman

引用次数: 1

摘要

考虑了两个关于$n$-by-$n$偏等距的陈述：（i）这些矩阵是一般的，如果是酉不可约的，以及（ii）如果是幂零的，它们的数值范围是圆盘。两个语句都保持$n\leq4$，但从$n=5$开始失败。

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 low-dimensional partial isometries

Two statements concerning $n$-by-$n$ partial isometries are being considered: (i) these matrices are generic, if unitarily irreducible, and (ii) if nilpotent, their numerical ranges are circular disks. Both statements hold for $n\leq 4$ but fail starting with $n=5$.

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来源期刊

Electronic Journal of Linear Algebra 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal is essentially unlimited by size. Therefore, we have no restrictions on length of articles. Articles are submitted electronically. Refereeing of articles is conventional and of high standards. Posting of articles is immediate following acceptance, processing and final production approval.