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Mathematics of the USSR-Izvestiya, 1984, Volume 23, Issue 2, Pages 201–224
DOI: https://doi.org/10.1070/IM1984v023n02ABEH001464 (Mi im1431) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On spectral properties of operators with a shift

A. B. Antonevich, A. V. Lebedev
English version PDF (1225 kB) Citations (10)
References:
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DOI: https://doi.org/10.1070/IM1984v023n02ABEH001464
Abstract: A formula is obtained for the spectral radius of a weighted shift operator for a broad class of spaces in the case of an arbitrary invertible shift, and some general theorems are proved about properties of the spectrum for such operators. Necessary and sufficient conditions are found for invertibility of two-term operators with a shift.
Bibliography: 39 titles.
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1983, Volume 47, Issue 5, Pages 915–941
Bibliographic databases:
UDC: 517.983.23+517.984.5
MSC: Primary 47A10, 47B37; Secondary 47A35, 57R50, 58F09, 58F11
Language: English
Original paper language: Russian
Citation: A. B. Antonevich, A. V. Lebedev, “On spectral properties of operators with a shift”, Izv. Akad. Nauk SSSR Ser. Mat., 47:5 (1983), 915–941; Math. USSR-Izv., 23:2 (1984), 201–224
Citation in format AMSBIB
\Bibitem{AntLeb83}
\by A.~B.~Antonevich, A.~V.~Lebedev
\paper On spectral properties of operators with a~shift
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1983
\vol 47
\issue 5
\pages 915--941
\mathnet{http://mi.mathnet.ru/im1431}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=718411}
\zmath{https://zbmath.org/?q=an:0558.47023|0541.47027}
\transl
\jour Math. USSR-Izv.
\yr 1984
\vol 23
\issue 2
\pages 201--224
\crossref{https://doi.org/10.1070/IM1984v023n02ABEH001464}
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  • https://doi.org/10.1070/IM1984v023n02ABEH001464
  • https://www.mathnet.ru/eng/im/v47/i5/p915
    • This publication is cited in the following 10 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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    Abstract page:574
    Russian version PDF:239
    English version PDF:19
    References:104
    First page:1
     
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