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arXiv · 1106.2298

Finiteness Property of a Bounded Set of Matrices with Uniformly Sub-Peripheral Spectrum

Xiongping Dai·Victor Kozyakin
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Abstract

In the paper, a simple condition guaranteing the finiteness property for a bounded set of matrices is presented. Given a bounded set S of real or complex matrices, it is shown that existence of a sequence of matrix products such that the spectrum of each matrix in this sequence is uniformly sub-peripheral and tends to the joint spectral radius of S, guarantees the spectral finiteness property for S.

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Xiongping Dai, Victor Kozyakin. 2011-06-12. Finiteness Property of a Bounded Set of Matrices with Uniformly Sub-Peripheral Spectrum. https://doi.org/10.1134/s1064226911120096

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