Analyticity angle for non-commutative diffusion semigroups - Archive ouverte HAL Access content directly
Journal Articles Journal of the London Mathematical Society Year : 2010

Analyticity angle for non-commutative diffusion semigroups

Abstract

Under certain hypotheses, diffusion semigroups on commutative $L^p$-spaces are known to have an analytic extension for $|\arg z| < \pi/2 −\arctan (|p−2| / 2 \sqrt{p−1})$. In this paper it is shown that semigroups on non-commutative $L^p$-spaces have the same extension under suitable conditions. These conditions even lead to a new result in the commutative case. Further, some examples are considered.
Fichier principal
Vignette du fichier
NKDHgr.pdf (273.29 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03123937 , version 1 (28-01-2021)

Identifiers

  • HAL Id : hal-03123937 , version 1

Cite

Christoph Kriegler. Analyticity angle for non-commutative diffusion semigroups. Journal of the London Mathematical Society, 2010. ⟨hal-03123937⟩

Collections

UNIV-FCOMTE INSMI
10 View
55 Download

Share

Gmail Facebook Twitter LinkedIn More