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• W2332461211 abstract "We describe sufficient conditions for the operator Lu = 1 g(x) L0u, with L0 an ordi- nary differential operator dissipative on its domain and a function g changing its sign, to have maximal semidefinite invariant subspaces in the Krein space L2,g(a,b) with the indefinite inner product (u,v )= b a g(x)u(x)v(x)dx. The semigroup properties of the restrictions of an operator to these subspaces are studied. The similarity problem of L to a selfadjoint operator is discussed." @default.
• W2332461211 created "2016-06-24" @default.
• W2332461211 creator A5055185302 @default.
• W2332461211 date "2014-01-01" @default.
• W2332461211 modified "2023-09-25" @default.
• W2332461211 title "Existence of maximal semidefinite invariant subspaces and semigroup properties of some classes of ordinary differential operators" @default.
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• W2332461211 doi "https://doi.org/10.7153/oam-08-13" @default.
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