Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 207, Pages 107–119
DOI: https://doi.org/10.36535/0233-6723-2022-207-107-119 (Mi into985) 		 
On the product of $l_{s,r}$-nuclear operators and operators close to them

O. I. Reinov

Saint Petersburg State University
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DOI: https://doi.org/10.36535/0233-6723-2022-207-107-119
Abstract: In this paper, we analyze the possibilities of factorization of various types of nuclear operators through Hilbert spaces and apply the results obtained to problems on the distribution of eigenvalues of operators from the corresponding classes.
Keywords: nuclear operator, Schatten class, Lorentz space, factorization, Hilbert space.
Document Type: Article
UDC: 517.98
MSC: 47B10, 46B28
Language: Russian
Citation: O. I. Reinov, “On the product of $l_{s,r}$-nuclear operators and operators close to them”, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 207, VINITI, Moscow, 2022, 107–119
Citation in format AMSBIB
\Bibitem{Rei22}
\by O.~I.~Reinov
\paper On the product of $l_{s,r}$-nuclear operators and operators close to them
\inbook Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 207
\pages 107--119
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into985}
\crossref{https://doi.org/10.36535/0233-6723-2022-207-107-119}
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