A stochastic exponential stability theorem
Li Wei · Journal of Changchun University · 2009
This paper introduces γ-radonifying operators and the notions and some important properties of R-boundedness.As an application,let A be the generator of a C0 semigroup T on a Banach space E,it comes to a conclusion that the following are equivalent:(a) For all f∈γ(R+,E),T*f ∈γ(R+,E);(b) ω0(A)0.