Geodesic
On the Spectral Abscissa and the Logarithmic Norm
Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 562-575.

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In this paper, both well-known and new properties of the spectral abscissa and the logarithmic norm are described. In addition to well-known formulas for the norm of a matrix and for its logarithmic norm in cubic, octahedral, spherical norms, various estimates for these quantities in an arbitrary Hölder norm are proved.
Keywords: spectral radius and the norm of a matrix, spectral abscissa and the logarithmic norm of a matrix, Young's inequality, Hölder's inequality, Riesz theorem, Hölder norm. 
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A. I. Perov; I. D. Kostrub. On the Spectral Abscissa and the Logarithmic Norm. Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 562-575. http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a5/

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