Bounds on the generalized and the joint spectral radius of Hadamard products of bounded sets of positive operators on sequence spaces

DOI10.1016/j.laa.2012.02.022zbMath1243.15011OpenAlexW2084441226MaRDI QIDQ417574

Aljoša Peperko

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.02.022

zbMATH Keywords

spectral radiusmatrix inequalitygeneralized spectral radiusjoint spectral radiuspositive operatormaximum circuit geometric meanHadamard-Schur productMax algebranon-negative matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Positive linear operators and order-bounded operators (47B65)

Related Items (15)

Lower spectral radius and spectral mapping theorem for suprema preserving mappings ⋮ Some spectral norm inequalities on Hadamard products of nonnegative matrices ⋮ Bounds on the joint and generalized spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators ⋮ Generalized spectral radius and its max algebra version ⋮ 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 ⋮ Extremal norms for positive linear inclusions ⋮ Inequalities on the spectral radius, operator norm and numerical radius of the Hadamard weighted geometric mean of positive kernel operators ⋮ On the spectrum in max algebra ⋮ 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 ⋮ Polynomial convolutions in max-plus algebra ⋮ On the spectral radius of Hadamard products of nonnegative matrices ⋮ 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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