Matrix Transforms of Summability Domains of Normal Series-to-Series Matrices
DOI:
https://doi.org/10.15377/2409-5761.2014.01.02.1Keywords:
Matrix transforms, normal series-to-series matrices, conservative and regular series-to-series matrices, Riesz matrix.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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