Perron roots of a convex combination of a cone preserving map and its adjoint

DOI10.1016/0024-3795(84)90211-8zbMath0557.15008OpenAlexW2060828957MaRDI QIDQ762241

Ivo Marek

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90211-8

zbMATH Keywords

positive operatorRiesz spacePerron rootcone preserving operatorHardy-Littlewood-Polya type inequality

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Spectrum, resolvent (47A10) Linear operators on ordered spaces (47B60)

Related Items (2)

Two inequalities for the Perron root ⋮ Nonconcavity of the spectral radius in Levinger's theorem

Cites Work

• Some inequalities for the spectral radius of non-negative matrices and applications
• An inequality involving positive kernels
• Frobenius Theory of Positive Operators: Comparison Theorems and Applications
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