Analytic semigroups on vector valued noncommutative -spaces
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 ( on the vector valued noncommutative -space . Moreover, we give applications to the functional calculus of the generators of these semigroups, generalizing some earlier work of M. Junge, C. Le Merdy and Q. Xu.