The (weak) admissibility of the H∞-calculus for semigroup generators
نویسندگان
چکیده
The goal of the following is to use (infinitedimensional) linear systems theory to approach the H∞functional calculus. This extends recent work by the authors using the notion of admissible observation operators to define f (A) where f is bounded, analytic in the left half-plane and A generates an exponentially stable strongly continuous semigroup. Among other things it is shown that f (A) is always weakly admissible and indeed coincides with classical approaches to H∞-calculus.
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تاریخ انتشار 2014