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Function of spectral shift for dissipative and self-adjoint operators and trace formulae for resonances. (Russian) Zbl 0569.47033
The author is concerned with the function of spectral shift and trace formulae for dissipative and selfadjoint operators. Some applications of general results to concrete differential operators on Banach spaces with energy norms are given.
Reviewer: N.H.Pavel

MSC:
47B44 Linear accretive operators, dissipative operators, etc.
47B25 Linear symmetric and selfadjoint operators (unbounded)
47E05 General theory of ordinary differential operators (should also be assigned at least one other classification number in Section 47-XX)
47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces
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