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arXiv · 1910.01120

Elementary Proof of a generalization of the Perron-Frobenius theorem in an ordered Banach space

Abdelkader Intissar
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Abstract

We work in an ordered Banach space with closed generating positive cone. We show that a positive compact operator has zero spectral radius or a positive eigenvector with the corresponding eigenvalue equal to the spectral radius.

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Abdelkader Intissar. 2019-10-02. Elementary Proof of a generalization of the Perron-Frobenius theorem in an ordered Banach space. https://arxiv.org/abs/1910.01120

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