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- W4303067067 abstract "We study the Bonsall cone spectral radius and the approximate point spectrum of (in general non-linear) positively homogeneous, bounded and supremum preserving maps, defined on a max-cone in a given normed vector lattice. We prove that the Bonsall cone spectral radius of such maps is always included in its approximate point spectrum. Moreover, the approximate point spectrum always contains a (possibly trivial) interval. Our results apply to a large class of (nonlinear) max-type operators. We also generalize a known result that the spectral radius of a positive (linear) operator on a Banach lattice is contained in the approximate point spectrum. Under additional generalized compactness type assumptions our results imply Krein-Rutman type results." @default.
- W4303067067 created "2022-10-07" @default.
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- W4303067067 date "2016-12-06" @default.
- W4303067067 modified "2023-09-26" @default.
- W4303067067 title "On the Bonsall cone spectral radius and the approximate point spectrum" @default.
- W4303067067 doi "https://doi.org/10.48550/arxiv.1612.01755" @default.
- W4303067067 hasPublicationYear "2016" @default.
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