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arXiv · 1908.05692

Higher Rank Numerical Ranges of Jordan-Like Matrices

Martin Argerami·Saleh Mustafa
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Abstract

We completely characterize the higher rank numerical range of the matrices of the form $J_n(\alpha)\oplus\beta I_m$, where $J_n(\alpha)$ is the $n\times n$ Jordan block with eigenvalue $\alpha$. Our characterization allows us to obtain concrete examples of several extreme properties of higher rank numerical ranges.

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Martin Argerami, Saleh Mustafa. 2019-08-15. Higher Rank Numerical Ranges of Jordan-Like Matrices. https://arxiv.org/abs/1908.05692

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