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On a variant of commutator estimates in spectral theory. (English. Russian original) Zbl 0695.47003

J. Sov. Math. 49, No. 5, 1136-1139 (1990); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 163, 29-36 (1987).
See the review in Zbl 0649.47002.

MSC:

47A10 Spectrum, resolvent
47A40 Scattering theory of linear operators
47B47 Commutators, derivations, elementary operators, etc.

Citations:

Zbl 0649.47002
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References:

[1] M. Reed and B. Simon, Methods of Modern Mathematical Physics. IV. Analysis of Operators, Academic Press, New York (1978). · Zbl 0401.47001
[2] D. R. Yafaev, ”Remarks on the spectral theory for the Schrödinger operator of multiparticle type,” J. Sov. Math.,31, No. 6 (1985). · Zbl 0582.35034
[3] E. Mourre, ”Operateurs conjugues et proprietes de propagation. II,” Preprint CNRS, Marseille (1982).
[4] I. M. Sigal and A. Soffer, ”The N-particle scattering problem: asymptotic completeness for short-range systems,” Ann. Math.,126, 35–108 (1987). · Zbl 0646.47009
[5] P. Deift and B. Simon, ”A time-dependent approach to the completeness of multiparticle quantum systems,” Commun. Pure Appl. Math.,30, 573–583 (1977). · Zbl 0354.47004
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