---
OA_place: publisher
OA_type: free access
_id: '15261'
abstract:
- lang: eng
  text: In this article, we study uniqueness of form extensions in a rather general
    setting. The method is based on the theory of ordered Hilbert spaces and the concept
    of domination of semigroups. Our main abstract result transfers uniqueness of
    form extension of a dominating form to that of a dominated form. This result can
    be applied to a multitude of examples including various magnetic Schrödinger forms
    on graphs and on manifolds.
article_number: '108848'
article_processing_charge: No
article_type: original
author:
- first_name: Daniel
  full_name: Lenz, Daniel
  last_name: Lenz
- first_name: Marcel
  full_name: Schmidt, Marcel
  last_name: Schmidt
- first_name: Melchior
  full_name: Wirth, Melchior
  id: 88644358-0A0E-11EA-8FA5-49A33DDC885E
  last_name: Wirth
  orcid: 0000-0002-0519-4241
citation:
  ama: Lenz D, Schmidt M, Wirth M. Uniqueness of form extensions and domination of
    semigroups. <i>Journal of Functional Analysis</i>. 2021;280(6). doi:<a href="https://doi.org/10.1016/j.jfa.2020.108848">10.1016/j.jfa.2020.108848</a>
  apa: Lenz, D., Schmidt, M., &#38; Wirth, M. (2021). Uniqueness of form extensions
    and domination of semigroups. <i>Journal of Functional Analysis</i>. Elsevier.
    <a href="https://doi.org/10.1016/j.jfa.2020.108848">https://doi.org/10.1016/j.jfa.2020.108848</a>
  chicago: Lenz, Daniel, Marcel Schmidt, and Melchior Wirth. “Uniqueness of Form Extensions
    and Domination of Semigroups.” <i>Journal of Functional Analysis</i>. Elsevier,
    2021. <a href="https://doi.org/10.1016/j.jfa.2020.108848">https://doi.org/10.1016/j.jfa.2020.108848</a>.
  ieee: D. Lenz, M. Schmidt, and M. Wirth, “Uniqueness of form extensions and domination
    of semigroups,” <i>Journal of Functional Analysis</i>, vol. 280, no. 6. Elsevier,
    2021.
  ista: Lenz D, Schmidt M, Wirth M. 2021. Uniqueness of form extensions and domination
    of semigroups. Journal of Functional Analysis. 280(6), 108848.
  mla: Lenz, Daniel, et al. “Uniqueness of Form Extensions and Domination of Semigroups.”
    <i>Journal of Functional Analysis</i>, vol. 280, no. 6, 108848, Elsevier, 2021,
    doi:<a href="https://doi.org/10.1016/j.jfa.2020.108848">10.1016/j.jfa.2020.108848</a>.
  short: D. Lenz, M. Schmidt, M. Wirth, Journal of Functional Analysis 280 (2021).
corr_author: '1'
date_created: 2024-04-03T07:24:57Z
date_published: 2021-03-15T00:00:00Z
date_updated: 2026-06-18T17:46:54Z
day: '15'
ddc:
- '500'
department:
- _id: JaMa
doi: 10.1016/j.jfa.2020.108848
fulldoi: https://doi.org/10.1016/j.jfa.2020.108848
intvolume: '       280'
issue: '6'
keyword:
- Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1016/j.jfa.2020.108848
month: '03'
oa: 1
oa_version: Published Version
publication: Journal of Functional Analysis
publication_identifier:
  eissn:
  - 1096-0783
  issn:
  - 0022-1236
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Uniqueness of form extensions and domination of semigroups
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 280
year: '2021'
...