On the functional inequality for the spectral radius of compact operators

Author: Peperko Aljosa  

Publisher: Taylor & Francis Ltd

ISSN: 0308-1087

Source: Linear and Multilinear Algebra, Vol.59, Iss.4, 2011-04, pp. : 357-364

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Abstract

Elsner et al. [Functional inequalities for spectral radii of nonnegative matrices, Linear Algebra Appl. 129 (1990), pp. 103-130] characterized functions [image omitted] satisfying [image omitted] for all non-negative matrices A1, … , An of the same order, where r denotes the spectral radius. We generalize this result to the setting of infinite non-negative matrices that define compact operators on a Banach sequence space.