具有一致次周边谱的矩阵有界集的线性性质
Finiteness Property of a Bounded Set of Matrices with Uniformly Sub-Peripheral Spectrum
摘要：
本文给出了判定矩阵有界集有限性的一个简单条件。给定一个实矩阵或复矩阵的有界集S，证明了存在一个矩阵乘积序列，使得该序列中每个矩阵的谱一致次周边且趋于S的联合谱半径，保证了S的谱有限性.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
