Perron-Frobenius and Krein-Rutman theorems for tangentially positive operators

DOI10.2478/s11533-012-0118-3zbMath1283.47009OpenAlexW2077337915WikidataQ96744807 ScholiaQ96744807MaRDI QIDQ1935660

Adam Kanigowski, Wojciech Kryszewski

Publication date: 18 February 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0118-3

zbMATH Keywords

eigenvaluestrongly continuous semigroupeigenvectorspectral boundessential spectrumtangent conepositive operatorstangency conditionKrein-Rutman theoremPerron-Frobenius theorem

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Groups and semigroups of linear operators (47D03)

Related Items (4)

The Krasnosel'skii formula for parabolic differential inclusions with state constraints ⋮ Attractor bifurcation for positive solutions of evolution equations ⋮ A note on the Krein–Rutman theorem for sectorial operators ⋮ A dynamical approach to the Perron-Frobenius theory and generalized Krein-Rutman type theorems

Cites Work

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• One-Parameter Semigroups for Linear Evolution Equations
• Non-compact positive operators
• The radius of the essential spectrum
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