Abstract
The generators of positive C 0- and C 0 ∗-semigroups on an ordered Banach space are characterized in case the positive cone is normal. The notion of dispersiveness is introduced and conditions are given in order that dispersiveness of the generator corresponds to positivity and contractivity of the semigroup. As an application an order-theoretic description of the generating derivations on a C ∗-algebra is given. Finally two distinct characterizations of the generators of strongly continuous unitary groups on a real Hilbert space keeping invariant a closed convex cone are given.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
