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.
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页码：3991 / 4001
页数：11
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