Numerical ranges of 4-By-4 nilpotent matrices: Flat portions on the boundary

Erin Militzer; Linda J. Patton; Ilya M. Spitkovsky; Ming Cheng Tsai

doi:10.1007/978-3-319-49182-0_23

Numerical ranges of 4-By-4 nilpotent matrices: Flat portions on the boundary

Erin Militzer
, Linda J. Patton
, Ilya M. Spitkovsky
, Ming Cheng Tsai

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6 引文斯高帕斯（Scopus）

摘要

In their 2008 paper Gau and Wu conjectured that the numerical range of a 4-by-4 nilpotent matrix has at most two flat portions on its boundary. We prove this conjecture, establishing along the way some additional facts of independent interest. In particular, a full description of the case in which these two portions indeed materialize and are parallel to each other is included.

原文	English
主出版物標題	Operator Theory
主出版物子標題	Advances and Applications
發行者	Springer International Publishing
頁面	561-591
頁數	31
DOIs	https://doi.org/10.1007/978-3-319-49182-0_23
出版狀態	Published - 2017

出版系列

名字	Operator Theory: Advances and Applications
卷	259
ISSN（列印）	0255-0156
ISSN（電子）	2296-4878

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© 2017 Springer International Publishing.

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10.1007/978-3-319-49182-0_23

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Numerical ranges of 4-By-4 nilpotent matrices: Flat portions on the boundary

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