Author:
Baker J. W.,Petersen G. M.
Abstract
Let A = (am, n) be a (regular summability) matrix. Then will denote the set of bounded sequences which are summed by A. If {Ai} (i = 1, 2, …, N) is a finite set of such matrices, and if consists of every bounded sequence then we shall say that the matrices span the bounded sequences. Ifx = {xn} belongs to then we denote the value to which A sums x by A-lim x. If y = {yn} is any sequence, then the A-transform of y (if it exists) is the sequence {Aμ(y)}, where
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. Theory of summability of sequences and series;Journal of Soviet Mathematics;1976
2. Topology of Subsets of the Bounded Sequences;International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique;1974
3. Summability fields which span the bounded sequences;Mathematical Proceedings of the Cambridge Philosophical Society;1967-01