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Resumen de Kreĭn space unitary dilations of Hilbert space holomorphic semigroups

Stefania Marcantognini Árbol académico

  • 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.


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