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Mathematics of the USSR-Izvestiya, 1987, Volume 29, Issue 1, Pages 133–144
DOI: https://doi.org/10.1070/IM1987v029n01ABEH000963
(Mi im1534)
 

This article is cited in 3 scientific papers (total in 3 papers)

Spectrum, similarity, and invariant subspaces of Toeplitz operators

V. V. Peller
References:
Abstract: Estimates are obtained for the resolvents of Toeplitz operators under certain restrictions on their symbols. Conditions are found for the existence of nontrivial invariant subspaces and for a Toeplitz operator to be similar to a unitary operator. A theorem on inclusion of spectra is obtained for Toeplitz operators with unimodular symbols.
Bibliography: 26 titles.
Received: 12.07.1984
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1986, Volume 50, Issue 4, Pages 776–787
Bibliographic databases:
UDC: 517.98+517.53
MSC: 47A10, 47A15, 47B35
Language: English
Original paper language: Russian
Citation: V. V. Peller, “Spectrum, similarity, and invariant subspaces of Toeplitz operators”, Izv. Akad. Nauk SSSR Ser. Mat., 50:4 (1986), 776–787; Math. USSR-Izv., 29:1 (1987), 133–144
Citation in format AMSBIB
\Bibitem{Pel86}
\by V.~V.~Peller
\paper Spectrum, similarity, and invariant subspaces of Toeplitz operators
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1986
\vol 50
\issue 4
\pages 776--787
\mathnet{http://mi.mathnet.ru/im1534}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=864176}
\zmath{https://zbmath.org/?q=an:0624.47017}
\transl
\jour Math. USSR-Izv.
\yr 1987
\vol 29
\issue 1
\pages 133--144
\crossref{https://doi.org/10.1070/IM1987v029n01ABEH000963}
Linking options:
  • https://www.mathnet.ru/eng/im1534
  • https://doi.org/10.1070/IM1987v029n01ABEH000963
  • https://www.mathnet.ru/eng/im/v50/i4/p776
  • 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
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:484
    Russian version PDF:157
    English version PDF:21
    References:69
    First page:1
     
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