Domination of semigroups on standard forms of von Neumann algebras
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
Abstract
Consider (Tt)t≥0 and (St)t≥0 as real C -semigroups generated by closed and symmetric sesquilinear forms on a standard form of a von Neumann algebra. We provide a characterisation for the domination of the semigroup (Tt)t≥0 by (St)t≥0 , which means that - Stv≤ Ttu≤ Stv holds for all t≥ 0 and all real u and v that satisfy - v≤ u≤ v . This characterisation extends the Ouhabaz characterisation for semigroup domination to the non-commutative L2 -spaces. Additionally, we present a simpler characterisation when both semigroups are positive as well as consider the setting in which (Tt)t≥0 need not be real.
Details
Originalsprache | Englisch |
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Seiten (von - bis) | 715-729 |
Seitenumfang | 15 |
Fachzeitschrift | Archiv der Mathematik |
Jahrgang | 121 |
Ausgabenummer | 5-6 |
Publikationsstatus | Veröffentlicht - Nov. 2023 |
Peer-Review-Status | Ja |
Externe IDs
ORCID | /0000-0002-6854-0586/work/148603583 |
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Scopus | 85177881129 |
Schlagworte
Schlagwörter
- Domination of semigroups, Noncommutative theory, Quadratic forms, Standard forms of von Neumann algebras