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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) Russian version article
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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
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”, 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 Math. USSR-Izv.
\yr 1968
\vol 2
\issue 5
\pages 1117--1130
\mathnet{http://mi.mathnet.ru//eng/im2511}
\crossref{https://doi.org/10.1070/IM1968v002n05ABEH000712}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=238101}
\zmath{https://zbmath.org/?q=an:0183.41901|0186.20803}
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    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:447
    Russian version PDF:107
    English version PDF:15
    References:57
    First page:3
     
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