Analyticity angle for non-commutative diffusion semigroups

Christoph Kriegler (1, 2)

1 KIT - Karlsruhe Institute of Technology
2 UFC - Université de Franche-Comté

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.

Domaines: Analyse fonctionnelle [math.FA]; Analyse classique [math.CA]

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