Shift operators contained in contractions and pseudocontinuable matrix-valued Schur functions

被引：3

作者：

Boiko, SS

Dubovoy, VK

Fritzsche, B

Kirstein, B

机构：

[1] Univ Leipzig, Inst Math, Fak Math & Informat, D-04109 Leipzig, Germany

[2] Kharkov AM Gorkii State Univ, Dept Math & Mech, UA-61077 Kharkov, Ukraine

来源：

MATHEMATISCHE NACHRICHTEN | 2005年 / 278卷 / 7-8期

关键词：

pseudocontinuable matrix-valued Schur function; shift; coshift; contraction; unitary colligation; characteristic operator function;

D O I：

10.1002/mana.200310272

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the pseudocontinuability of a matrix-valued Schur function theta in the unit disk is completely detemined by the properties of the maximal shift and maximal coshift contained in a corresponding contractive operator T which has the characteristic operator function theta. (c) 2005 WILEY-NCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：784 / 807

页数：24

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