The norm and the logarithmic norm of infinite matrices
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 424-430

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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.
Mots-clés : infinite matrices
Keywords: the norm of a matrix, the logarithmic norm of a matrix, Young’s inequality, Holder’s inequality.
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     author = {O. I. Kleshchina},
     title = {The norm and the logarithmic norm of infinite matrices},
     journal = {Vestnik rossijskih universitetov. Matematika},
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     publisher = {mathdoc},
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     year = {2018},
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     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a9/}
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O. I. Kleshchina. The norm and the logarithmic norm of infinite matrices. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 424-430. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a9/