Charakterizations of the Generators of Positive Semigroups on C*- and von Neumann Algebras
Abstract
Generators of positive C0-semigroups on C*-algebras and C0*-semigroups on von Neumann algebras are examined. A characterization due to Bratteli and Robinson in the C0-case is proven in the C0*-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.
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