Charakterizations of the Generators of Positive Semigroups on C*- and von Neumann Algebras
Abstract
Description
Generators of positive C_0-semigroups on C^*-algebras and C_0^*-semigroups on von Neumann algebras are examined. A characterization due to Bratteli and Robinson in the C_0-case is proven in the C_0^*-case. Under the additional assumptions of unitality and contractivity of the semigroup another characterization of the generator is given. This result is restated for the dual and predual semigroup.
10 pages, Latex2e
10 pages, Latex2e