Operator-valued rational functions

被引：2

作者：

Curto, Raul E. ^{[1
]}

Hwang, In Sung ^{[2
]}

Lee, Woo Young ^{[3
,4
]}

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] Sungkyunkwan Univ, Dept Math, Suwon 16419, South Korea

[3] Seoul Natl Univ, Dept Math, RIM, Seoul 08826, South Korea

[4] Seoul Natl Univ, RIM, Seoul 08826, South Korea

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2022年 / 283卷 / 09期

关键词：

Inner functions; Inner divisors; Blaschke-Potapov factor; Operator-valued rational functions; SUBNORMAL TOEPLITZ-OPERATORS;

D O I：

10.1016/j.jfa.2022.109640

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that every inner divisor of the operator-valued coordinate function, zI(E), is a Blaschke-Potapov factor. We also introduce a notion of operator-valued "rational " function and then show that delta is two-sided inner and rational if and only if it can be represented as a finite Blaschke-Potapov product; this extends to operator-valued functions the well-known result proved by V.P. Potapov for matrix-valued functions. (C) 2022 Elsevier Inc. All rights reserved.

引用

页数：23

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