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 Mat. Zametki, 2009, Volume 86, Issue 5, Pages 673–680 (Mi mz4584)

Linear Difference and Differential Operators with Unbounded Operator Coefficients in Weight Spaces

M. S. Bichegkuev

North-Ossetia State University

Abstract: We describe the spectrum of linear difference and differential operators with unbounded operator coefficients in weight spaces.

Keywords: linear difference operator, linear differential operator, weight space, complex Banach space, evolution operator, spectrum of an operator, Beurling–Gelfand formula

DOI: https://doi.org/10.4213/mzm4584

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English version:
Mathematical Notes, 2009, 86:5, 637–644

Bibliographic databases:

UDC: 517.9

Citation: M. S. Bichegkuev, “Linear Difference and Differential Operators with Unbounded Operator Coefficients in Weight Spaces”, Mat. Zametki, 86:5 (2009), 673–680; Math. Notes, 86:5 (2009), 637–644

Citation in format AMSBIB
\Bibitem{Bic09} \by M.~S.~Bichegkuev \paper Linear Difference and Differential Operators with Unbounded Operator Coefficients in Weight Spaces \jour Mat. Zametki \yr 2009 \vol 86 \issue 5 \pages 673--680 \mathnet{http://mi.mathnet.ru/mz4584} \crossref{https://doi.org/10.4213/mzm4584} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2641340} \zmath{https://zbmath.org/?q=an:1197.47048} \elib{http://elibrary.ru/item.asp?id=15296241} \transl \jour Math. Notes \yr 2009 \vol 86 \issue 5 \pages 637--644 \crossref{https://doi.org/10.1134/S0001434609110054} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000273362000005} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-73949115792} 

• http://mi.mathnet.ru/eng/mz4584
• https://doi.org/10.4213/mzm4584
• http://mi.mathnet.ru/eng/mz/v86/i5/p673

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. M. S. Bichegkuev, “On conditions for invertibility of difference and differential operators in weight spaces”, Izv. Math., 75:4 (2011), 665–680
2. Bichegkuev M.S., “On the exponential dichotomy and spectral properties of difference operators related to the Howland semigroup”, Differ. Equ., 48:6 (2012), 769–778
3. A. G. Baskakov, “Analysis of linear differential equations by methods of the spectral theory of difference operators and linear relations”, Russian Math. Surveys, 68:1 (2013), 69–116
4. M. S. Bichegkuev, “Spectral analysis of difference and differential operators in weighted spaces”, Sb. Math., 204:11 (2013), 1549–1564
5. M. S. Bichegkuev, “Spectral Analysis of Differential Operators with Unbounded Operator Coefficients in Weighted Spaces of Functions”, Math. Notes, 95:1 (2014), 15–21
6. D. B. Didenko, “Spectral Properties of the Operators $AB$ and $BA$”, Math. Notes, 103:2 (2018), 196–208
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