Inequalities on the spectral radius, operator norm and numerical radius of the Hadamard weighted geometric mean of positive kernel operators

DOI10.1080/03081087.2018.1465885zbMath1502.47029arXiv1612.01767OpenAlexW2963232005WikidataQ129913928 ScholiaQ129913928MaRDI QIDQ4967258

Aljoša Peperko

Publication date: 3 July 2019

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

Full work available at URL: https://arxiv.org/abs/1612.01767

zbMATH Keywords

spectral radiusnonnegative matricesBanach function spacespositive kernel operatorsHadamard-Schur weighted geometric mean

Mathematics Subject Classification ID

Linear operator inequalities (47A63) 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) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (6)

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 ⋮ Logarithmic convexity of fixed points of stochastic 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 ⋮ Inequalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators ⋮ 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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