A Generalized Krein-Rutman Theorem
arXiv:1606.04377 · doi:10.1137/16M1108832
Abstract
A generalized Krein-Rutman theorem for a strongly positive bounded linear operator whose spectral radius is larger than essential spectral radius is established: the spectral radius of the operator is an algebraically simple eigenvalue with strongly positive eigenvector and other eigenvalues are less than the spectral radius.
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