The infinitesimal generator A of a strongly continuous semigroup on a Hilbert space is assumed to satisfy that Bβ := A−β is a sectorial operator of angle less than π 2 for some β ≥ 0. If Bβ is dissipative in some equivalent scalar product then the Naimark–Arocena representation theorem is applied to obtain a Krein space unitary dilation of the semigroup.
© 2008-2024 Fundación Dialnet · Todos los derechos reservados