Finiteness Property of a Bounded Set of Matrices with Uniformly Sub-Peripheral Spectrum
Functional Analysis
2011-11-01 v3 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1106.2298,
title = {Finiteness Property of a Bounded Set of Matrices with Uniformly Sub-Peripheral Spectrum},
author = {Xiongping Dai and Victor Kozyakin},
journal= {arXiv preprint arXiv:1106.2298},
year = {2011}
}
Comments
8 pages, 29 bibliography references. Minor changes in v3