Uniqueness of form extensions and domination of semigroups

Lenz D, Schmidt M, Wirth M. 2021. Uniqueness of form extensions and domination of semigroups. Journal of Functional Analysis. 280(6), 108848.

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Journal Article | Published | English

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Author
Lenz, Daniel; Schmidt, Marcel; Wirth, MelchiorISTA
Department
Abstract
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.
Keywords
Publishing Year
Date Published
2021-03-15
Journal Title
Journal of Functional Analysis
Volume
280
Issue
6
Article Number
108848
ISSN
eISSN
IST-REx-ID

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Lenz D, Schmidt M, Wirth M. Uniqueness of form extensions and domination of semigroups. Journal of Functional Analysis. 2021;280(6). doi:10.1016/j.jfa.2020.108848
Lenz, D., Schmidt, M., & Wirth, M. (2021). Uniqueness of form extensions and domination of semigroups. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2020.108848
Lenz, Daniel, Marcel Schmidt, and Melchior Wirth. “Uniqueness of Form Extensions and Domination of Semigroups.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2020.108848.
D. Lenz, M. Schmidt, and M. Wirth, “Uniqueness of form extensions and domination of semigroups,” Journal of Functional Analysis, vol. 280, no. 6. Elsevier, 2021.
Lenz D, Schmidt M, Wirth M. 2021. Uniqueness of form extensions and domination of semigroups. Journal of Functional Analysis. 280(6), 108848.
Lenz, Daniel, et al. “Uniqueness of Form Extensions and Domination of Semigroups.” Journal of Functional Analysis, vol. 280, no. 6, 108848, Elsevier, 2021, doi:10.1016/j.jfa.2020.108848.

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