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
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