Hadamard weighted geometric mean inequalities for the spectral and essential spectral radius of positive operators on Banach function and sequence spaces

2021/07/20 by Bogdanović, Katarina, Peperko, Aljoša
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2107.09459

Abstract

We prove new inequalities for the spectral radius, essential spectral radius, operator norm, measure of noncompactness and numerical radius of Hadamard weighted geometric means of positive kernel operators on Banach function and sequence spaces. Several inequalities appear to be new even in the finite dimensional case.

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• Inequalities and equalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators
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