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.
引用
收藏
页数：20
相关论文
共 50 条
  • [41] Higher order local Dirichlet integrals and de Branges-Rovnyak spaces
    Luo, Shuaibing
    Gu, Caixing
    Richter, Stefan
    ADVANCES IN MATHEMATICS, 2021, 385
  • [42] Power-Series Summability Methods in de Branges-Rovnyak Spaces
    Mashreghi, Javad
    Parise, Pierre-Olivier
    Ransford, Thomas
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2022, 94 (02)
  • [43] De Branges-Rovnyak Spaces Which are Complete Nevanlinna-Pick Spaces
    Ahmed, Hamidul
    Das, B. Krishna
    Panja, Samir
    JOURNAL OF GEOMETRIC ANALYSIS, 2025, 35 (02)
  • [44] On certain Riesz families in vector-valued de Branges-Rovnyak spaces
    Chevrot, Nicolas
    Fricain, Emmanuel
    Timotin, Dan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 355 (01) : 110 - 125
  • [45] De Branges-Rovnyak Realizations of Operator-Valued Schur Functions on the Complex Right Half-Plane
    Ball, Joseph A.
    Kurula, Mikael
    Staffans, Olof J.
    Zwart, Hans
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2015, 9 (04) : 723 - 792
  • [46] DE BRANGES-ROVNYAK SPACES AND COMPLETE NEVANLINNA-PICK KERNELS
    Chu, Cheng
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024,
  • [47] The Cauchy dual subnormality problem via de Branges-Rovnyak spaces
    Chavan, Sameer
    Ghara, Soumitra
    Reza, Md Ramiz
    STUDIA MATHEMATICA, 2022, 265 (03) : 315 - 341
  • [48] Outer Functions and Divergence in de Branges–Rovnyak Spaces
    Javad Mashreghi
    Thomas Ransford
    Complex Analysis and Operator Theory, 2018, 12 : 987 - 995
  • [49] The Fock Space as a De Branges-Rovnyak Space
    Alpay, Daniel
    Colombo, Fabrizio
    Sabadini, Irene
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2019, 91 (06)
  • [50] Canonical de Branges-Rovnyak Model Transfer-Function Realization for Multivariable Schur-Class Functions
    Ball, Joseph A.
    Bolotnikov, Vladimir
    HILBERT SPACES OF ANALYTIC FUNCTIONS, 2010, 51 : 1 - +
12345