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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 232, Pages 118–122 (Mi znsl3680)  
This article is cited in 6 scientific papers (total in 6 papers)

One-dimensional perturbations of singular unitary operators

V. V. Kapustin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (264 kB) Citations (6)
Abstract: Under some natural restrictions, we prove that any one-dimensional perturbation of a singular unitary operator on a Hilbert space is unitarily equivalent to a model operator on a space determined (in a certain precise way) by two functions from the Hardy space $H^2$. Bibl. 3 titles.
Received: 05.02.1996
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 92, Issue 1, Pages 3619–3621
DOI: https://doi.org/10.1007/BF02440146
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: V. V. Kapustin, “One-dimensional perturbations of singular unitary operators”, Investigations on linear operators and function theory. Part 24, Zap. Nauchn. Sem. POMI, 232, POMI, St. Petersburg, 1996, 118–122; J. Math. Sci. (New York), 92:1 (1998), 3619–3621
Citation in format AMSBIB
\Bibitem{Kap96}
\by V.~V.~Kapustin
\paper One-dimensional perturbations of singular unitary operators
\inbook Investigations on linear operators and function theory. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 232
\pages 118--122
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3680}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1464428}
\zmath{https://zbmath.org/?q=an:0907.47006|0894.47011}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 92
\issue 1
\pages 3619--3621
\crossref{https://doi.org/10.1007/BF02440146}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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