Inequalities for the Hadamard weighted geometric mean of positive kernel operators on Banach function spaces

DOI10.1007/s11117-006-0048-zzbMath1121.47021OpenAlexW2060555669MaRDI QIDQ865020

Aljoša Peperko, Roman Drnovšek

Publication date: 13 February 2007

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-006-0048-z

zbMATH Keywords

spectral radiusHadamard productoperator normSchur productnumerical radiusoperator inequalitiesBanach function spaceskernel operators

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Spectrum, resolvent (47A10) Numerical range, numerical radius (47A12) Positive linear operators and order-bounded operators (47B65) Kernel operators (47B34)

Related Items (16)

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 ⋮ Sequences of bounds for the spectral radius of a positive operator ⋮ 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 ⋮ An intelligent multi-criteria optimization method for quick and market-oriented textile material design ⋮ On the functional inequality for the spectral radius of compact operators ⋮ On the max version of the generalized spectral radius theorem ⋮ On the spectral radius of positive operators on Banach sequence spaces ⋮ Inequalities for the spectral radius of non-negative functions ⋮ Inequalities on the spectral radius, operator norm and numerical radius of the Hadamard weighted geometric mean of positive kernel operators ⋮ 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

• Unnamed Item
• Functional inequalities for spectral radii of nonnegative matrices
• Tight bounds on the spectral radius of asymmetric nonnegative matrices
• Banach lattices
• On an inequality for spectral radius
• A CONVEXITY PROPERTY OF POSITIVE MATRICES
• The perron root of a weighted geometric mean of nonneagative matrices
• Spectral inequalities for compact integral operators on Banach function spaces

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