Some Counterexamples for Cayley-Hamilton Theorem for Doubly Infinite Matrices

被引：0
|
作者：
Slowik, Roksana [1 ]
机构：
[1] Silesian Tech Univ, Fac Appl Math, Kaszubska 23, PL-44100 Gliwice, Poland
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 05期
关键词：
Cayley-Hamilton theorem; Doubly infinite matrix; Periodic matrix;
D O I：
10.1007/s40840-019-00873-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the question about generalization of the Cayley-Hamilton theorem. Namely, the problem if for every banded periodic doubly infinite matrixAthere exists polynomialQsuch thatQ(A) is a matrix with constant diagonals. We present a class of doubly infinite matrices for which such polynomial does not exist.
引用
收藏
页码：3349 / 3359
页数：11
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