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

2023/12/02 by Zahraei, Mohsen
#FOS: Mathematics #Operator Algebras (math.OA) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2312.01048

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.

Related

• Results on the generalized numerical ranges in max algebra
• Investigating the Numerical Range of Non Square Matrices
• The convex algebraic geometry of higher-rank numerical ranges
• Some constants related to numerical ranges
• The higher rank numerical range of matrix polynomials