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Izvestiya: Mathematics, 2018, Volume 82, Issue 1, Pages 1–13
DOI: https://doi.org/10.1070/IM8543 (Mi im8543) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On invertibility states of differential and difference operators

A. G. Baskakov, V. B. Didenko

Voronezh State University
English version PDF (262 kB) Citations (8)
References:
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DOI: https://doi.org/10.1070/IM8543
Abstract: To every differential operator with unbounded operator coefficients we assign a difference operator in a space of bounded sequences. We prove the coincidence of the invertibility states of these operators (this means that the properties of the images and kernels of these operators coincide). We give a general scheme for proving the coincidence of the invertibility states of two abstract operators.
Keywords: invertibility states, Fredholm property, family of evolution operators, differential operator, difference operator.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.3464.2017/4.6
Russian Foundation for Basic Research 16-01-00197
The work of the first author, including Theorem 10, was supported by the Ministry of Science and Education of Russia in the framework of the project part (project no. 1.3464.2017/4.6). That of the second was supported by the Russian Foundation for Basic Research (project no. 16-01-00197).
Received: 10.03.2016
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2018, Volume 82, Issue 1, Pages 3–16
DOI: https://doi.org/10.4213/im8543
Bibliographic databases:
Document Type: Article
UDC: 517.937+517.983
MSC: 34G10, 46B45, 47A53, 47B39
Language: English
Original paper language: Russian
Citation: A. G. Baskakov, V. B. Didenko, “On invertibility states of differential and difference operators”, Izv. RAN. Ser. Mat., 82:1 (2018), 3–16; Izv. Math., 82:1 (2018), 1–13
Citation in format AMSBIB
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\paper On invertibility states of differential and difference operators
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  • https://doi.org/10.1070/IM8543
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:896
    Russian version PDF:79
    English version PDF:11
    References:131
    First page:105
     
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