On the definition of the cone spectral radius

DOI10.1090/S0002-9939-2014-12375-6zbMath1311.47067MaRDI QIDQ5179329

Gustaf Gripenberg

Publication date: 19 March 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (7)

On the Bonsall cone spectral radius and the approximate point spectrum ⋮ Eigenfunctionals of homogeneous order-preserving maps with applications to sexually reproducing populations ⋮ Lower spectral radius and spectral mapping theorem for suprema preserving mappings ⋮ An extinction/persistence threshold for sexually reproducing populations: the cone spectral radius ⋮ Spectral Radii and Collatz–Wielandt Numbers for Homogeneous Order-preserving Maps and the Monotone Companion Norm ⋮ Discrete-time population dynamics on the state space of measures ⋮ The basic reproduction number \(R_0\) in time-heterogeneous environments

Cites Work

• Generalizing the Kreĭn-Rutman theorem, measures of noncompactness and the fixed point index
• Eigenvalues for a class of homogeneous cone maps arising from max-plus operators
• Uniqueness of the fixed point of nonexpansive semidifferentiable maps
• Continuity of the cone spectral radius
• Linear Operators in Complete Positive Cones

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