Density of diskalgebra functions in de Branges-Rovnyak spaces

被引：7
|
作者：
Aleman, Alexandru [1 ]
Malman, Bartosz [1 ]
机构：
[1] Lund Univ, Ctr Math Sci, POB 118, SE-22100 Lund, Sweden
来源：
COMPTES RENDUS MATHEMATIQUE | 2017年 / 355卷 / 08期
关键词：
D O I：
10.1016/j.crma.2017.07.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that functions analytic in the unit disk and continuous up to the boundary are dense in the de Branges-Rovnyak spaces induced by the extreme points of the unit ball of H-infinity. Together with previous theorems, it follows that this class of functions is dense in any de Branges-Rovnyak space. (C) 2017 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：871 / 875
页数：5
相关论文
共 50 条
  • [21] Nonextreme de Branges-Rovnyak Spaces as Models for Contractions
    Mashreghi, Javad
    Timotin, Dan
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2014, 80 (01) : 137 - 152
  • [22] Embedding model and de Branges-Rovnyak spaces in Dirichlet spaces
    Bellavita, Carlo
    Dellepiane, Eugenio
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2025, 70 (02) : 228 - 246
  • [23] Dirichlet Spaces with Superharmonic Weights and de Branges-Rovnyak Spaces
    El-Fallah, O.
    Kellay, K.
    Klaja, H.
    Mashreghi, J.
    Ransford, T.
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2016, 10 (01) : 97 - 107
  • [24] Interpolating and uniqueness sequences for de Branges-Rovnyak spaces
    Lo, Ching-on
    Loh, Anthony Wai-keung
    RICERCHE DI MATEMATICA, 2023, 72 (01) : 33 - 44
  • [25] Clark measures and de Branges-Rovnyak spaces in several variables
    Aleksandrov, Aleksei B.
    Doubtsov, Evgueni
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2023, 68 (02) : 212 - 221
  • [26] Two-Isometries and de Branges-Rovnyak Spaces
    Kellay, Karim
    Zarrabi, Mohamed
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2015, 9 (06) : 1325 - 1335
  • [27] Exponentials of de Branges-Rovnyak kernels
    Kuwahara, Shuhei
    Seto, Michio
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2022, 65 (02): : 447 - 455
  • [28] Generalized Schur Functions and Related de Branges-Rovnyak Spaces in the Banach Space Setting
    Alpay, Daniel
    Timoshenko, Olga
    Vegulla, Prasad
    Volok, Dan
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2009, 65 (04) : 449 - 472
  • [29] Which de Branges-Rovnyak spaces are Dirichlet spaces (and vice versa)?
    Costara, Constantin
    Ransford, Thomas
    JOURNAL OF FUNCTIONAL ANALYSIS, 2013, 265 (12) : 3204 - 3218
  • [30] Mixed de Branges-Rovnyak and sub-Bergman spaces
    Gu, Caixing
    Hwang, In Sung
    Lee, Woo Young
    Park, Jaehui
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2024, 697 : 443 - 467
12345