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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 4 scientific papers (total in 4 papers)

Spectrum, similarity, and invariant subspaces of Toeplitz operators

V. V. Peller
English version PDF (550 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/IM1987v029n01ABEH000963
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
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”, 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 Math. USSR-Izv.
\yr 1987
\vol 29
\issue 1
\pages 133--144
\mathnet{http://mi.mathnet.ru//eng/im1534}
\crossref{https://doi.org/10.1070/IM1987v029n01ABEH000963}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=864176}
\zmath{https://zbmath.org/?q=an:0624.47017}
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    • This publication is cited in the following 4 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
     
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