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arXiv · 2312.01048

A correction of "On the numerical ranges of matrices in max algebra", Banach J. Math. Anal. 14 (2020), 1773-1792

Mohsen Zahraei
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Abstract

We correct some unfortunate mistakes that appeared in the article D. Taghizadeh, M. Zahraei, A. Peperko and N. H. Aboutalebi, On the numerical ranges of matrices in max algebra, Banach j. Math. Anal., 14 (2020), pp. 1773-1792 concerning certain notions of the numerical range in the max algebra setting.To do this we also include a study of the charactristic max polynomial and correspondingly the max $k-$spectrum and the $k-$tropical spectrum. We also pose a nonresolved open questions.

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Mohsen Zahraei. 2023-12-02. A correction of "On the numerical ranges of matrices in max algebra", Banach J. Math. Anal. 14 (2020), 1773-1792. https://arxiv.org/abs/2312.01048

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