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

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.

preprint2011arXivOpen access
Xiongping DaiVictor Kozyakin
math.FAmath.RA
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Xiongping DaiVictor Kozyakin

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