On some aspects of spectral theory for infinite bounded non-negative matrices in max algebra
Functional Analysis
2022-09-07 v2
Abstract
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 matrices. Some continuity results are also established.
Keywords
Cite
@article{arxiv.2201.02123,
title = {On some aspects of spectral theory for infinite bounded non-negative matrices in max algebra},
author = {Vladimir Müller and Aljoša Peperko},
journal= {arXiv preprint arXiv:2201.02123},
year = {2022}
}