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• W2912509906 abstract "We study certain dynamical systems which leave invariant an indefinite quadratic form via semigroups or evolution families of complex symmetric Hilbert space operators. In the setting of bounded operators we show that a $mathcal{C}$-selfadjoint operator generates a contraction $C_0$-semigroup if and only if it is dissipative. In addition, we examine the abstract Cauchy problem for nonautonomous linear differential equations possessing a complex symmetry. In the unbounded operator framework we isolate the class of emph{complex symmetric, unbounded semigroups} and investigate Stone-type theorems adapted to them. On Fock space realization, we characterize all $mathcal{C}$-selfadjoint, unbounded weighted composition semigroups. As a byproduct we prove that the generator of a $mathcal{C}$-selfadjoint, unbounded semigroup is not necessarily $mathcal{C}$-selfadjoint." @default.
• W2912509906 created "2019-02-21" @default.
• W2912509906 creator A5026457502 @default.
• W2912509906 creator A5090489273 @default.
• W2912509906 date "2019-01-22" @default.
• W2912509906 modified "2023-09-27" @default.
• W2912509906 title "Complex symmetric evolution equations" @default.
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• W2912509906 hasPublicationYear "2019" @default.
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