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

DOI10.1080/03081087.2022.2121369arXiv2202.02325OpenAlexW4296613862MaRDI QIDQ6064155

Katarina Bogdanović, Aljoša Peperko

Publication date: 12 December 2023

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

Full work available at URL: https://arxiv.org/abs/2202.02325

zbMATH Keywords

essential spectral radiusmeasure of non-compactnesspositive 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)

Cites Work

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• Generalized spectral radius and its max algebra version
• Bounds on the generalized and the joint spectral radius of Hadamard products of bounded sets of positive operators on sequence spaces
• Extremal and Barabanov semi-norms of a semigroup generated by a bounded family of matrices
• On the spectral radius and the spectral norm of Hadamard products of nonnegative matrices
• The generalised Berger-Wang formula and the spectral radius of linear cocycles
• Asymptotic stability and generalized Gelfand spectral radius formula
• Inequalities on the spectral radius and the operator norm of Hadamard products of positive operators on sequence spaces
• Inequalities for the Hadamard weighted geometric mean of positive kernel operators on Banach function spaces
• On the spectral radius of positive operators on Banach sequence spaces
• Inequalities for the spectral radius of non-negative functions
• Spectral radius of Hadamard product versus conventional product for non-negative matrices
• Bounded semigroups of matrices
• Banach lattices
• The generalized spectral radius and extremal norms
• Joint spectral radius, operator semigroups, and a problem of W. Wojtyński
• Some spectral norm inequalities on Hadamard products of nonnegative matrices
• Existence of solutions and controllability of nonlinear integro-differential systems in Banach spaces
• The generalized spectral-radius theorem: An analytic-geometric proof
• Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria
• 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
• On the spectral radius of 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
• Sequences of bounds for the spectral radius of a positive operator
• On the max version of the generalized spectral radius theorem
• On the functional inequality for the spectral radius of compact operators
• Bounds on the spectral radius of Hadamard products of positive operators on lp-spaces
• Compactness properties of Sobolev imbeddings for rearrangement invariant norms
• Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefinite matrices
• On Quasinilpotent Semigroups of Operators
• Inequalities on the spectral radius, operator norm and numerical radius of the Hadamard weighted geometric mean of positive kernel operators
• Inequalities 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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