The Perron-Frobenius theorem in relative spectral theory

DOI10.1007/BF01446582zbMath0712.47032MaRDI QIDQ748848

Martin Zerner, Christian Bidard

Publication date: 1991

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164791

zbMATH Keywords

existence of a positive eigenvectorPerron-Frobenius theorem in relative spectral theorypositive inversesimplicity of the associated eigenvalue

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on ordered spaces (47B60)

Related Items

Cones in Banach algebras ⋮ Perturbation of positive semigroups

Cites Work

• Positive one-parameter semigroups on ordered Banach spaces
• One-parameter semigroups of positive operators
• Quelques propriétés spectrales des opérateurs positifs. (Some spectral properties of positive operators)
• Operator valued analytic functions and generalizations of spectral theory
• Analytic properties of the inverse \(A(z)^{-1}\) of an analytic linear operator valued function \(A(z)\)
• Multiple product techniques with properties of single product systems
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