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Perturbations of Dissipative Operators with Relative Bound One

Perturbations of Dissipative Operators with Relative Bound One

Let A be the generator of a (C") contraction semigroup on a Banach space.Let B be a dissipative operator with densely defined adjoint.Assume that the inequality H&cj|^|M:r|| + holds on the domain of A. Then the closure of /f + B generates a (C0) contraction semigroup.