Lower spectral radius and spectral mapping theorem for suprema preserving mappings

DOI10.3934/dcds.2018179OpenAlexW2962685271WikidataQ129698996 ScholiaQ129698996MaRDI QIDQ1661157

Aljoša Peperko, Vladimír Müller

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00340

zbMATH Keywords

normed spacesconesapproximate point spectrumspectral mapping theoremlower spectral radiusnormed vector latticesBonsall's cone spectral radiuslocal spectral radiimax-kernel operatorssupremum preserving maps

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Positive linear operators and order-bounded operators (47B65) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (4)

Uniform boundedness principle for nonlinear operators on cones of functions ⋮ Asymptotic formulae and inequalities for point spectrum in max algebra ⋮ Inequalities for the spectral radius and essential spectral radius of positive operators on Banach sequence spaces ⋮ Hadamard weighted geometric mean inequalities for the spectral and essential spectral radius of positive operators on Banach function and sequence spaces

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