A generalization of the one-step theorem for matrix polynomials

被引：0

作者：

Ellis, RL ^{[1
]}

Gohberg, I

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[2] Tel Aviv Univ, Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Ramat Aviv, Israel

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2003年 / 47卷 / 01期

关键词：

orthogonal matrix polynomials; zeros of matrix polynomials; block Toeplitz matrices; orthogonal matrix functions; convolution matrix integral equations;

D O I：

10.1007/s00020-002-1153-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give a new proof of Krein's Theorem for orthogonal matrix polynomials based on a "one-step" version of the theorem. This parallels the proof given in [3] of Krein's Theorem in the scalar case.

引用

页码：51 / 69

页数：19

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