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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 123, Pages 424–430
DOI: https://doi.org/10.20310/1810-0198-2018-23-123-424-430 (Mi vtamu41) 		 
Scientific articles

The norm and the logarithmic norm of infinite matrices

O. I. Kleshchina

Voronezh State University
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DOI: https://doi.org/10.20310/1810-0198-2018-23-123-424-430
Abstract: In this paper the norm and the logarithmic norm of infinite matrices in the $l_{\sigma}$ space are studied. Various estimates of these quantities are obtained.
Keywords: infinite matrices, the norm of a matrix, the logarithmic norm of a matrix, Young’s inequality, Holder’s inequality.
Received: 24.04.2018
Bibliographic databases:
Document Type: Article
UDC: 517.983.23
Language: Russian
Citation: O. I. Kleshchina, “The norm and the logarithmic norm of infinite matrices”, Tambov University Reports. Series: Natural and Technical Sciences, 23:123 (2018), 424–430
Citation in format AMSBIB
\Bibitem{Kle18}
\by O.~I.~Kleshchina
\paper The norm and the logarithmic norm of infinite matrices
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 123
\pages 424--430
\mathnet{http://mi.mathnet.ru/vtamu41}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-123-424-430}
\elib{https://elibrary.ru/item.asp?id=36452689}
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