Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Density of disk algebra functions in de Branges-Rovnyak spaces

Aleman, Alexandru LU and Malman, Bartosz LU (2017) In Comptes Rendus Mathématique 355(8). p.871-875
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
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Comptes Rendus Mathématique
volume
355
issue
8
pages
871 - 875
publisher
Elsevier
external identifiers
  • wos:000413928300007
  • 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
2025-01-07 20:09:22
@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}},
  number       = {{8}},
  pages        = {{871--875}},
  publisher    = {{Elsevier}},
  series       = {{Comptes Rendus Mathématique}},
  title        = {{Density of disk algebra functions in de Branges-Rovnyak spaces}},
  url          = {{http://dx.doi.org/10.1016/j.crma.2017.07.015}},
  doi          = {{10.1016/j.crma.2017.07.015}},
  volume       = {{355}},
  year         = {{2017}},
}