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Semigroups on Kreǐn spaces. (English) Zbl 0737.47038
Summary: Strongly continuous semigroups of linear operators acting on Krein spaces are investigated together with associated semigroups of holomorphic automorphisms and isometries of Cartan domains of type one. Applications to the solution of Riccati equations are given.

MSC:
47D06 One-parameter semigroups and linear evolution equations
47B50 Linear operators on spaces with an indefinite metric
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