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Density of disk algebra functions in de Branges-Rovnyak spaces

Aleman, Alexandru LU and Malman, Bartosz LU (2017) In Comptes Rendus Mathematique
Abstract

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∞. Together with previous theorems, it follows that this class of functions is dense in any de Branges-Rovnyak space.

Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
in press
subject
in
Comptes Rendus Mathematique
publisher
Editions scientifiques Elsevier
external identifiers
  • scopus:85026731620
ISSN
1631-073X
DOI
10.1016/j.crma.2017.07.015
language
English
LU publication?
yes
id
c1da2a23-e4e9-4ef9-9684-24a5c9fc41b0
date added to LUP
2017-09-04 14:26:29
date last changed
2017-09-04 14:26:29
@article{c1da2a23-e4e9-4ef9-9684-24a5c9fc41b0,
  abstract     = {<p>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∞. Together with previous theorems, it follows that this class of functions is dense in any de Branges-Rovnyak space.</p>},
  author       = {Aleman, Alexandru and Malman, Bartosz},
  issn         = {1631-073X},
  language     = {eng},
  month        = {04},
  publisher    = {Editions scientifiques Elsevier},
  series       = {Comptes Rendus Mathematique},
  title        = {Density of disk algebra functions in de Branges-Rovnyak spaces},
  url          = {http://dx.doi.org/10.1016/j.crma.2017.07.015},
  year         = {2017},
}