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

DOI10.1016/j.laa.2017.07.020zbMath1373.15033arXiv1612.01765OpenAlexW2963450717MaRDI QIDQ2404983

Aljoša Peperko

Publication date: 21 September 2017

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

Full work available at URL: https://arxiv.org/abs/1612.01765

zbMATH Keywords

positive kernel operatorsHadamard-Schur productnon-negative matricesjoint and generalized spectral radiusbounded sets of operatorsHadamard-Schur geometric mean

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) 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 (9)

Lower spectral radius and spectral mapping theorem for suprema preserving mappings ⋮ 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 ⋮ Uniform boundedness principle for nonlinear operators on cones of functions ⋮ Inequalities on the spectral radius, operator norm and numerical radius of the Hadamard weighted geometric mean 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 ⋮ 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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