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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 178, Pages 92–119 (Mi znsl4677)  
This article is cited in 3 scientific papers (total in 3 papers)

Scattering theory for almost unitary operators and function model

B. M. Solomyak
Full-text PDF (1270 kB) Citations (3)
Abstract: The function model approach to the scattering theory is considered. Pairs of operators ‘close’ to unitary are studied. Special cases of the general scheme include known results by L. de Branges and L. Shulman, L. A. Sahnovich, S. N. Naboko and H. Neidhardt. The main new result is the existence of complete local wave operators for a unitary operator and its nuclear perturbation whose spectrum does not fill the unit disc. For such pairs the invariance principle is obtained.
English version:
Journal of Soviet Mathematics, 1992, Volume 61, Issue 2, Pages 2002–2018
DOI: https://doi.org/10.1007/BF01095664
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: B. M. Solomyak, “Scattering theory for almost unitary operators and function model”, Investigations on linear operators and function theory. Part 18, Zap. Nauchn. Sem. LOMI, 178, "Nauka", Leningrad. Otdel., Leningrad, 1989, 92–119; J. Soviet Math., 61:2 (1992), 2002–2018
Citation in format AMSBIB
\Bibitem{Sol89}
\by B.~M.~Solomyak
\paper Scattering theory for almost unitary operators and function model
\inbook Investigations on linear operators and function theory. Part~18
\serial Zap. Nauchn. Sem. LOMI
\yr 1989
\vol 178
\pages 92--119
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4677}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1037766}
\zmath{https://zbmath.org/?q=an:0784.47019|0735.47006}
\transl
\jour J. Soviet Math.
\yr 1992
\vol 61
\issue 2
\pages 2002--2018
\crossref{https://doi.org/10.1007/BF01095664}
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  • https://www.mathnet.ru/eng/znsl/v178/p92
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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