Scientific articles

The norm and the logarithmic norm of infinite matrices

O. I. Kleshchina

Voronezh State University

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.

UDC: 517.983.23

Received: 24.04.2018

DOI: 10.20310/1810-0198-2018-23-123-424-430

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