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arXiv · 2207.07808

A Note on the Krein-Rutman Theorem for Sectorial Operators

Desheng Li·Ruijing Wang·Luyan Zhou
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Abstract

In this note we present some generalized versions of the Krein-Rutman theorem for sectorial operators. They are formulated in a fashion that can be easily applied to elliptic operators. Another feature of these generalized versions is that they contain some information on the generalized eigenspaces associated with non-principal eigenvalues, which are helpful in the study of the dynamics of evolution equations in ordered Banach spaces.

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Desheng Li, Ruijing Wang, Luyan Zhou. 2022-07-16. A Note on the Krein-Rutman Theorem for Sectorial Operators. https://arxiv.org/abs/2207.07808

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