Completeness of wave operators in two Hilbert spaces

Martin Schechter

Annales de l'I.H.P. Physique théorique (1979)

  • Volume: 30, Issue: 2, page 109-127
  • ISSN: 0246-0211

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Schechter, Martin. "Completeness of wave operators in two Hilbert spaces." Annales de l'I.H.P. Physique théorique 30.2 (1979): 109-127. <http://eudml.org/doc/76021>.

@article{Schechter1979,
author = {Schechter, Martin},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {completeness of wave operators; scattering on two Hilbert spaces},
language = {eng},
number = {2},
pages = {109-127},
publisher = {Gauthier-Villars},
title = {Completeness of wave operators in two Hilbert spaces},
url = {http://eudml.org/doc/76021},
volume = {30},
year = {1979},
}

TY - JOUR
AU - Schechter, Martin
TI - Completeness of wave operators in two Hilbert spaces
JO - Annales de l'I.H.P. Physique théorique
PY - 1979
PB - Gauthier-Villars
VL - 30
IS - 2
SP - 109
EP - 127
LA - eng
KW - completeness of wave operators; scattering on two Hilbert spaces
UR - http://eudml.org/doc/76021
ER -

References

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  1. [1] Tosio Kato, Perturbation Theory for Linear Operators, Springer, 1966. Zbl0148.12601
  2. [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. Zbl0183.41901MR238101
  3. [3] Tosio Kato, Scattering theory with two Hilbert spaces, J. Func. Anal., t. 1, 1967, p. 342-369. Zbl0171.12303MR220097
  4. [4] Tosio Kato, Two spaces scattering theory, J. Fac. Sci. Univ. Tokyo, t. 24, 1977, p. 503-514. Zbl0395.47007MR512674
  5. [5] M.S. Birman, Scattering problems for differential operators with perturbation of space, Izv. Akad. Nauk SSSR, t. 35, 1971, p. 440-445. Zbl0236.47011MR291868
  6. [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. Zbl0244.47004MR290174
  7. [7] V.G. Deic, Application of the method of nuclear perturbation in two space scattering theory, Izv. Vyss. Ucebn. Zaved, 1971, p. 33-42. MR293456
  8. [8] Martin Schechter, A unified approach to scattering, J. Math. Pures Appl., t. 53, 1974, p. 373-396. Zbl0304.47010MR365183
  9. [9] Tosio Suzuki, Scattering theory for a certain nonsefadjoint operator, Mem. Fac. L. b. Arts Educ., t. 23, 1974, p. 14-18. 
  10. [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. Zbl0223.47007MR275221
  11. [11] Tosio Kato and S.T. Kuroda, The abstract theory of scattering, Rocky Mtn. J. Math., t. 1, 1971, p. 127-171. Zbl0241.47005MR385604
  12. [12] Tosio Kato, Wave operators and similarity for some nonselfadjoint operators, Math. Ann., t. 162, 1966, p. 258-279. Zbl0139.31203MR190801
  13. [13] R.B. Lavine, Commutators and scattering theory II, Indiana Univ. Math. J., t. 21, 1972, p. 643-656. Zbl0216.38501MR300134

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