The spectral shift function for a dissipative and a selfadjoint operator, and trace formulas for resonances. (English) Zbl 0586.47034

Rybkin, A. V.

Math. USSR, Sb. 53, 421-431 (1986).

Translation from Mat. Sb., Nov. Ser. 125(167), No.3(11), 420-430 (Russian) (1984; Zbl 0569.47033).

MSC:

47B44	Linear accretive operators, dissipative operators, etc.
47A70	(Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces
47B25	Linear symmetric and selfadjoint operators (unbounded)
47B06	Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators

Keywords:

spectral shift; trace formulae for dissipative and selfadjoint operators; Banach spaces with energy norms