The Gau-Wang-Wu conjecture on partial isometries holds in the 5-by-5 case

IF 0.7 4区数学 Q2 Mathematics

Electronic Journal of Linear Algebra Pub Date : 2021-08-16 DOI:10.13001/ela.2022.6541

I. Spitkovsky, I. Suleiman, E. Wegert

引用次数: 2

Abstract

Gau, Wang and Wu in their LAMA'2016 paper conjectured (and proved for $n\leq 4$) that an $n$-by-$n$ partial isometry cannot have a circular numerical range with a non-zero center. We prove that this statement holds for $n=5$.

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关于部分等距的高-王-吴猜想在5乘5情况下成立

Gau、Wang和Wu在他们的LAMA’2016论文中推测（并证明了$n\leq4$），$n$乘-$n$的偏等距不可能具有非零中心的圆形数值范围。我们证明了这个陈述适用于$n=5$。

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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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.