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On separation conditions for the spectral components of a dissipative operator

B. S. Pavlov


Abstract: Conditions for separating the invariant subspaces corresponding to the absolutely continuous, discrete and singular spectrum of an abstract dissipative operator are obtained in terms of the characteristic function of the operator. The results are applied to ordinary differential operators with real potential and complex boundary conditions.
Bibliography: 20 items.

UDC: 513.88

MSC: Primary 47B44, 47A15, 47A10; Secondary 47E05, 34B25

Received: 12.11.1973

 English version: Mathematics of the USSR-Izvestiya, 1975, 9:1, 113–137

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