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Eurasian Mathematical Journal, 2025, Volume 16, Number 1, Pages 8–21
DOI: https://doi.org/10.32523/2077-9879-2025-16-1-08-21 (Mi emj522) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Similar transformation of one class of well-defined restrictions

B. N. Biyarov

Institute of Mathematics and Mathematical Modeling, National Academy of Sciences of the Republic of Kazakhstan, 28 Shevchenko St., 050010 Almaty, Kazakhstan
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DOI: https://doi.org/10.32523/2077-9879-2025-16-1-08-21
Abstract: In this paper there is considered the description of all well-defined restrictions of a maximal operator in a Hilbert space. A class of well-defined restrictions is found for which a similar transformation has the domain of the fixed well-defined restriction. The resulting theorem is applied to the study of $n$-order differentiation operator and the Laplace operator.
Keywords and phrases: maximal (minimal) operator, well-defined restriction, well-defined extension, similar operators, singular coefficients, Riesz basis with brackets.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan BR20281002
This research is funded by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan, Grant No BR20281002.
Received: 17.01.2024
Document Type: Article
MSC: 47A05, 47A10
Language: English
Citation: B. N. Biyarov, “Similar transformation of one class of well-defined restrictions”, Eurasian Math. J., 16:1 (2025), 8–21
Citation in format AMSBIB
\Bibitem{Biy25}
\by B.~N.~Biyarov
\paper Similar transformation of one class of well-defined restrictions
\jour Eurasian Math. J.
\yr 2025
\vol 16
\issue 1
\pages 8--21
\mathnet{http://mi.mathnet.ru/emj522}
\crossref{https://doi.org/10.32523/2077-9879-2025-16-1-08-21}
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