Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Mathematics of the USSR-Izvestiya, 1968, Volume 2, Issue 5, Pages 1117–1130
DOI: https://doi.org/10.1070/IM1968v002n05ABEH000712 (Mi im2511) 		 
This article is cited in 26 scientific papers (total in 26 papers)

The existence of wave operators in scattering theory for pairs of spaces

A. L. Belopol'skii, M. Sh. Birman
English version PDF (581 kB) Citations (26)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1968v002n05ABEH000712
Abstract: Existence conditions are considered for wave operators for pairs of self-adjoint operators which act in different Hilbert spaces. The “operator of identification” is not assumed to be isometric. The existence criteria obtained for wave operators (local and nonlocal) are related to perturbation theory of nuclear operators. The construction of wave operators is carried out by a stationary method.
Received: 20.03.1968
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1968, Volume 32, Issue 5, Pages 1162–1175
Bibliographic databases:
UDC: 517.9
MSC: 47A40, 47B25, 47A55
Language: English
Original paper language: Russian
Citation: A. L. Belopol'skii, M. Sh. Birman, “The existence of wave operators in scattering theory for pairs of spaces”, Izv. Akad. Nauk SSSR Ser. Mat., 32:5 (1968), 1162–1175; Math. USSR-Izv., 2:5 (1968), 1117–1130
Citation in format AMSBIB
\Bibitem{BelBir68}
\by A.~L.~Belopol'skii, M.~Sh.~Birman
\paper The existence of wave operators in scattering theory for pairs of
spaces
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1968
\vol 32
\issue 5
\pages 1162--1175
\mathnet{http://mi.mathnet.ru/im2511}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=238101}
\zmath{https://zbmath.org/?q=an:0183.41901|0186.20803}
\transl
\jour Math. USSR-Izv.
\yr 1968
\vol 2
\issue 5
\pages 1117--1130
\crossref{https://doi.org/10.1070/IM1968v002n05ABEH000712}
Linking options:
  • https://www.mathnet.ru/eng/im2511
  • https://doi.org/10.1070/IM1968v002n05ABEH000712
  • https://www.mathnet.ru/eng/im/v32/i5/p1162
    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:427
    Russian version PDF:102
    English version PDF:6
    References:47
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024