On the numerical range of generators of symmetric L∞-contractive semigroups

On the numerical range of generators of symmetric L∞-contractive semigroups

A result by Liskevich and Perelmuter from 1995 yields the optimal angle of analyticity for symmetric submarkovian semigroups on L p , 1 < p < ∞ . C. Kriegler showed in 2011 that the result remains true without the assumption of positivity of the semigroup. Here we give an elementary proof of K...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Archiv der Mathematik 2016-11, Vol.107 (5), p.553-559
Hauptverfasser: Haase, Markus, Kunstmann, Peer Christian, Vogt, Hendrik
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A result by Liskevich and Perelmuter from 1995 yields the optimal angle of analyticity for symmetric submarkovian semigroups on L p , 1 < p < ∞ . C. Kriegler showed in 2011 that the result remains true without the assumption of positivity of the semigroup. Here we give an elementary proof of Kriegler’s result.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-016-0945-8