Inequalities for the spectral radius of non-negative functions

DOI10.1007/s11117-008-2188-9zbMath1170.47008OpenAlexW2038037118MaRDI QIDQ1007096

Aljoša Peperko

Publication date: 27 March 2009

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-008-2188-9

zbMATH Keywords

convolutionspectral radiusHadamard productoperator inequalitymax algebrameasurable functionkernel operatorweighted geometric meanfunction normmaximum cycle geometric meanfunction inequalitylattice norm

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Spectrum, resolvent (47A10) Algebraic systems of matrices (15A30) Kernel operators (47B34) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (18)

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 ⋮ Bounds on the generalized and the joint spectral radius of Hadamard products of bounded sets of positive operators on sequence spaces ⋮ On the functional inequality for the spectral radius of compact operators ⋮ On the max version of the generalized spectral radius theorem ⋮ On the continuity of the generalized spectral radius in max algebra ⋮ On the spectral radius of positive operators on Banach sequence spaces ⋮ 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 ⋮ 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

Cites Work

• A max version of the generalized spectral radius theorem
• Inequalities for the Hadamard weighted geometric mean of positive kernel operators on Banach function spaces
• Convexity inequalities for positive operators
• Functional inequalities for spectral radii of nonnegative matrices
• Limit eigenvalues of nonnegative matrices
• Convexity and log convexity for the spectral radius
• Linear and combinatorial optimization in ordered algebraic structures
• Bounded semigroups of matrices
• A max version of the Perron-Frobenius theorem
• Eigenvalues for a class of homogeneous cone maps arising from max-plus operators
• Max-algebra: The linear algebra of combinatorics?
• On the power method in max algebra
• On the max version of the generalized spectral radius theorem
• On the asymptotic stability of nonnegative matrices in max algebra
• Diagonal similarity and equivalence for matrices over groups with 0
• The perron root of a weighted geometric mean of nonneagative matrices
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