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

页码：871 / 875

页数：5

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