Abstract
We correct some unfortunate mistakes that appeared in the article D. Thaghizadeh, M. Zahraei, A. Peperko, and N. H. Aboutalebi, On the numerical ranges of matrices in max algebra, Banach J. Math. Anal., 14 (2020), 1773–1792, concerning certain notions of the numerical range in the max algebra setting. Along the way we also include a study of the characteristic max polynomial and correspondingly the max k-spectrum and the k-tropical spectrum. We also pose a related and intriguing open question.
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