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
收藏
页码：3991 / 4001
页数：11
相关论文
共 50 条
  • [41] On a Class of Analytic Functions Related to the Starlike Functions
    Gao, Chunyi
    Zhou, Shiqiong
    KYUNGPOOK MATHEMATICAL JOURNAL, 2005, 45 (01): : 123 - 130
  • [42] Generalized Schur Functions as Multivalent Functions
    Wietsma, Hendrik Luit
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2021, 15 (01)
  • [43] Schur Functions and Inner Functions on the Bidisc
    Ramlal Debnath
    Jaydeb Sarkar
    Computational Methods and Function Theory, 2023, 23 : 133 - 163
  • [44] Generalized Schur Functions as Multivalent Functions
    Hendrik Luit Wietsma
    Complex Analysis and Operator Theory, 2021, 15
  • [45] Schur Functions and Inner Functions on the Bidisc
    Debnath, Ramlal
    Sarkar, Jaydeb
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2023, 23 (01) : 133 - 163
  • [46] On a class of bifurcation test functions
    Seydel, R
    CHAOS SOLITONS & FRACTALS, 1997, 8 (06) : 851 - 855
  • [47] Jl-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting
    Alpay, D.
    Dijksma, A.
    Langer, H.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 419 (2-3) : 675 - 709
  • [48] SCHUR-CONVEXITY, SCHUR GEOMETRIC AND SCHUR HARMONIC CONVEXITIES OF DUAL FORM OF A CLASS SYMMETRIC FUNCTIONS
    Shi, Huan-Nan
    Zhang, Jing
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (02): : 349 - 358
  • [49] An Explicit Factorization Of Totally Positive Generalized Vandermonde Matrices Avoiding Schur Functions
    Chen, Young-Ming
    Li, Hsuan-Chu
    Tan, Eng-Tjioe
    APPLIED MATHEMATICS E-NOTES, 2008, 8 : 138 - 147
  • [50] Schur-Convexity for a Class of Symmetric Functions and Its Applications
    Xia, Wei-Feng
    Chu, Yu-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
12345