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Matrix Transforms of Summability Domains of Normal Series-to-Series Matrices

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Title: Matrix Transforms of Summability Domains of Normal Series-to-Series Matrices

Authors: Ants Aasma

Journal: Journal of advances in applied & computational mathematics

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Year: 2014

Volume: 1

Issue: 2

Language: en

DOI: 10.15377/2409-5761.2014.01.02.1

Keywords: Matrix transformsnormal series-to-series matricesconservative and regular series-to-series matricesRiesz matrix.

Categories
Matrix Theory (13) Analysis (236) Summability Theory (3) Mathematics (5170)

Abstract

In the present paper matrix transforms of summability domains CSA of normal series-to-series matrices A are investigated. Let M be a matrix and B a triangular series-to-series matrix. Necessary and sufficient conditions for M to be a transform from CSA into CSB are found. For application the special case, when A is a series-to-series Riesz matrix, are studied.

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