De Branges-Rovnyak spaces generated by row Schur functions with mate

被引：0
|
作者：
Chen, Hongxin [1 ]
Gu, Caixing [2 ]
Luo, Shuaibing [1 ]
机构：
[1] Hunan Univ, Sch Math, Changsha 410082, Peoples R China
[2] Calif Polytech State Univ San Luis Obispo, Dept Math, San Luis Obispo, CA 93407 USA
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2024年 / 193卷
关键词：
De Branges-Rovnyak space; Schur function; Mate; Invariant subspace; Cyclic vector; Carath & eacute; odory condition;
D O I：
10.1016/j.bulsci.2024.103434
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the de Branges-Rovnyak spaces H(B) generated by row Schur functions B with mate a. We prove that the polynomials are dense in H(B), and characterize the backward shift invariant subspaces of H(B). We then describe the cyclic vectors in H(B) when B is of finite rank and dim(aH(2))(perpendicular to) < infinity. (c) 2024 Elsevier Masson SAS. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：20
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