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arxiv: 1802.04745 · v1 · pith:IYUCZ2BUnew · submitted 2018-02-13 · 🧮 math.FA

A counterexample to a nonlinear version of the Krein-Rutman theorem by R. Mahadevan

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keywords nonlineartheoremcounterexamplekrein-rutmanversionanalcorrectmahadevan
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In this short note we present a simple counterexample to a nonlinear version of the Krein-Rutman theorem reported in [Nonlinear Anal. 11 (2007), 3084-3090]. Correct versions of this theorem, and related results for superadditive maps are also presented.

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