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SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.
Abstract
In this chapter, the matrix transformations in sequence spaces are studied and the characterizations of the classes of Schur, Kojima and Toeplitz matrices together with their versions for the series-to-sequence, sequence-to-series and series-to-series matrix transformations are given.
Keywords:
Matrix transformations between sequence spaces, ordinary, absolute and strong summability, KOjima-Schur theorem, Silverman-Toeplitz theorem, Schur's theorem, algebra, normed and Banach algebra, characteristic of a matrix, sequence-to-sequence, series-to-sequence, series-to-series and sequence-to-series matrix transformations, dual summability methods, arithmetics, Cesàro, Euler, Riesz and Nörlund means, Taylor, Ar, Hausdor, Borel and Abel matrices.
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Authors:Bentham Science Books