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2000 Mathematics Subject Classification: Primary 47A48, Secondary 60G12
In this work we present the operators Aγ = γA + -γA with Re γ = 1/2 in the case of an operator A from the class of nondissipative operators generating nonselfadjoint curves, whose correlation functions have a limit as t → ±∞. The asympthotics of the stationary curves e^(itAγ)f as t → ±∞ onto the absolutely continuous subspace of Aγ are obtained. These asymptotics and the obtained asymptotics in [9] of the nondissipative...
2000 Mathematics Subject Classification: Primary 47A48, Secondary 60G12.
In this paper classes of K^r -operators are considered – the classes
of bounded and unbounded operators A with equal domains of A and A*,
finite dimensional imaginary parts and presented as a coupling of a dissipative operator and an antidissipative one with real absolutely continuous
spectra and the class of unbounded dissipative K^r -operators A with different domains of A and A*
and with real absolutely continuous...
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