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

DOI10.1080/03081087.2018.1484423OpenAlexW2963416023MaRDI QIDQ5235768

Aljoša Peperko

Publication date: 14 October 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09680

zbMATH Keywords

measure of noncompactnessessential spectral radiuspositive kernel operatorsHadamard-Schur productnon-negative matricesjoint and generalized spectral radiusbounded sets of operatorsHadamard-Schur geometric mean

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Spectrum, resolvent (47A10) Positive linear operators and order-bounded operators (47B65) Kernel operators (47B34)

Related Items (4)

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 ⋮ Asymptotic formulae and inequalities for point spectrum in max algebra ⋮ Inequalities for the spectral radius and essential spectral radius of positive operators on Banach sequence spaces ⋮ Hadamard weighted geometric mean inequalities for the spectral and essential spectral radius of positive operators on Banach function and sequence spaces

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