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On some aspects of spectral theory for infinite bounded non-negative matrices in max algebra

Several spectral radii formulas for infinite bounded nonnegative matrices in max algebra are obtained. We also prove some Perron-Frobenius type results for such matrices. In particular, we obtain results on block triangular forms, which are similar to results on Frobenius normal form of $n \times n$ matrices. Some continuity results are also established.

preprint2022arXivOpen access
Vladimir MüllerAljoša Peperko
math.FA
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Open access2 authors1 topic
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Vladimir MüllerAljoša Peperko

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