Four dimensional characterization of bounded double sequences
DOI:
https://doi.org/10.5556/j.tkjm.35.2004.214Abstract
In 1945 Brudno presented the following important theorem: If $A$ and $B$ are regular summability matrix methods such that every bounded sequence summed by $A$ is also summed by $B$, then it is summed by $B$ to the same value. R. G. Cooke suggested that a simpler proof would be desirable. Petersen presented such a proof. The goal of the paper is to present an accessible multidimensional analog of Brudno theorem for double sequences using four dimensional matrix transformations.Downloads
Published
2004-06-30
How to Cite
Patterson, R. F. (2004). Four dimensional characterization of bounded double sequences. Tamkang Journal of Mathematics, 35(2), 129–134. https://doi.org/10.5556/j.tkjm.35.2004.214
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