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Funktsional'nyi Analiz i ego Prilozheniya, 2024, Volume 58, Issue 3, Pages 145–148
DOI: https://doi.org/10.4213/faa4100 (Mi faa4100) 		 
Brief communications

On the distribution of eigenvalues of nuclear operators

O. I. Reinov

Saint Petersburg State University, Saint Petersburg, Russia
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DOI: https://doi.org/10.4213/faa4100
Abstract: It is shown how certain recent results in the theory of determinants and traces can be applied to obtain new theorems on the distribution of eigenvalues of nuclear operators on Banach spaces and to prove the equality of the spectral and nuclear traces of such operators. As an example, we consider a new class of operators: the class of generalized Lapresté nuclear operators.
Keywords: $\alpha$-nuclear operator, determinant, trace, eigenvalue.
Received: 17.02.2023
Accepted: 14.11.2023
English version:
Functional Analysis and Its Applications, 2024, Volume 58, Issue 3, Pages 344–346
DOI: https://doi.org/10.1134/S0016266324030109
Document Type: Article
Language: Russian
Citation: O. I. Reinov, “On the distribution of eigenvalues of nuclear operators”, Funktsional. Anal. i Prilozhen., 58:3 (2024), 145–148; Funct. Anal. Appl., 58:3 (2024), 344–346
Citation in format AMSBIB
\Bibitem{Rei24}
\by O.~I.~Reinov
\paper On the distribution of eigenvalues of nuclear operators
\jour Funktsional. Anal. i Prilozhen.
\yr 2024
\vol 58
\issue 3
\pages 145--148
\mathnet{http://mi.mathnet.ru/faa4100}
\crossref{https://doi.org/10.4213/faa4100}
\transl
\jour Funct. Anal. Appl.
\yr 2024
\vol 58
\issue 3
\pages 344--346
\crossref{https://doi.org/10.1134/S0016266324030109}
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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