A Note on the Krein-Rutman Theorem for Sectorial Operators
Functional Analysis
2022-07-19 v1
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.
Cite
@article{arxiv.2207.07808,
title = {A Note on the Krein-Rutman Theorem for Sectorial Operators},
author = {Desheng Li and Ruijing Wang and Luyan Zhou},
journal= {arXiv preprint arXiv:2207.07808},
year = {2022}
}
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17 pages