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arXiv:1802.04745 [math.FA]AbstractReferencesReviewsResources

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

Ari Arapostathis

Published 2018-02-13Version 1

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.

Comments: To appear in Nonlinear Analysis, 6 pages
Categories: math.FA
Subjects: 47H07, 47H10, 47J10, 47B65
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