Completeness of wave operators in two Hilbert spaces
Schechter, Martin
Annales de l'I.H.P. Physique théorique, Tome 31 (1979), p. 109-127 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1979-01-01
@article{AIHPA_1979__30_2_109_0,
     author = {Schechter, Martin},
     title = {Completeness of wave operators in two Hilbert spaces},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {31},
     year = {1979},
     pages = {109-127},
     mrnumber = {535368},
     zbl = {0444.47014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1979__30_2_109_0}
}

Schechter, Martin. Completeness of wave operators in two Hilbert spaces. Annales de l'I.H.P. Physique théorique, Tome 31 (1979) pp. 109-127. http://gdmltest.u-ga.fr/item/AIHPA_1979__30_2_109_0/

[1] Tosio Kato, Perturbation Theory for Linear Operators, Springer, 1966. | Zbl 0148.12601

[2] A.L. Belopolskii and M.S. Birman, The existence of wave operators in scattering theory for pairs of spaces, Izv. Akad. Nauk SSSR, t. 32, 1968, p. 1162-1175. | MR 238101 | Zbl 0183.41901

[3] Tosio Kato, Scattering theory with two Hilbert spaces, J. Func. Anal., t. 1, 1967, p. 342-369. | MR 220097 | Zbl 0171.12303

[4] Tosio Kato, Two spaces scattering theory, J. Fac. Sci. Univ. Tokyo, t. 24, 1977, p. 503-514. | MR 512674 | Zbl 0395.47007

[5] M.S. Birman, Scattering problems for differential operators with perturbation of space, Izv. Akad. Nauk SSSR, t. 35, 1971, p. 440-445. | MR 291868 | Zbl 0236.47011

[6] V.G. Deic, The local stationary method in the theory of scattering with two spaces, Dokl. Akad. Nauk SSSR, t. 197, 1971, p. 1247-1250. | MR 290174 | Zbl 0244.47004

[7] V.G. Deic, Application of the method of nuclear perturbation in two space scattering theory, Izv. Vyss. Ucebn. Zaved, 1971, p. 33-42. | MR 293456

[8] Martin Schechter, A unified approach to scattering, J. Math. Pures Appl., t. 53, 1974, p. 373-396. | MR 365183 | Zbl 0304.47010

[9] Tosio Suzuki, Scattering theory for a certain nonsefadjoint operator, Mem. Fac. L. b. Arts Educ., t. 23, 1974, p. 14-18.

[10] J.R. Schulenberger and C.H. Wilcox, Completeness of the wave operators for perturbations of uniformly propagative systems, J. Funk. Anal., t. 7, 1971, p. 447-474. | MR 275221 | Zbl 0223.47007

[11] Tosio Kato and S.T. Kuroda, The abstract theory of scattering, Rocky Mtn. J. Math., t. 1, 1971, p. 127-171. | MR 385604 | Zbl 0241.47005

[12] Tosio Kato, Wave operators and similarity for some nonselfadjoint operators, Math. Ann., t. 162, 1966, p. 258-279. | MR 190801 | Zbl 0139.31203

[13] R.B. Lavine, Commutators and scattering theory II, Indiana Univ. Math. J., t. 21, 1972, p. 643-656. | MR 300134 | Zbl 0216.38501