FACTORIZATION OF FUNCTIONS IN THE SCHUR-AGLER CLASS RELATED TO TEST FUNCTIONS

被引：1

作者：

Bhowmik, Mainak ^{[1
]}

Kumar, Poornendu ^{[2
]}

机构：

[1] Indian Inst Sci, Dept Math, Bangalore 560012, India

[2] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 09期

关键词：

Colligation; extreme points; factorization; realization formula; Schur- Agler class; test functions; HOLOMORPHIC-FUNCTIONS; EXTREME-POINTS; INTERPOLATION; REALIZATION; MULTIPLIERS;

D O I：

10.1090/proc/16900

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide necessary and sufficient conditions for operator-valued functions on arbitrary sets associated with a collection of test functions to have factorizations in several situations.

引用

页码：3991 / 4001

页数：11

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