2022/07/16 by Li, Desheng, Wang, Ruijing, Zhou, Luyan
#35P05 #47A75 #47B65 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2207.07808
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.