Analytic semigroups on vector valued noncommutative $L^{p}$-spaces

• Autorzy: Cédric Arhancet
• Języki publikacji: EN

Abstrakty

EN

We give sufficient conditions on an operator space E and on a semigroup of operators on a von Neumann algebra M to obtain a bounded analytic or R-analytic semigroup ($(T ⊗ Id_{E})_{t≥0}$ on the vector valued noncommutative $L^{p}$-space $L^{p}(M,E)$. Moreover, we give applications to the $H^{∞}(Σ_{θ})$ functional calculus of the generators of these semigroups, generalizing some earlier work of M. Junge, C. Le Merdy and Q. Xu.

Kategorie tematyczne

• 46L07: Operator spaces and completely bounded maps
• 47D03: Groups and semigroups of linear operators
• 46L51: Noncommutative measure and integration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 216
• Numer: 3
• Strony: 271-290

Daty

wydano

2013

Twórcy

autor

Cédric Arhancet

• Laboratoire de Mathématiques, Universitéde Franche-Comté, 25 030 Besançon Cedex, France

Identyfikatory

DOI

10.4064/sm216-3-5