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A Summability Problem

Published online by Cambridge University Press:  20 November 2018

M. S. Macphail
M. S. Macphail*
Affiliation:
Department of Mathematics, Carleton University, Ottawa, Ontario, K1S 5B6
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In a paper by Wilansky and the writer [4] there were five questions left open, four of which have been answered by Beekman and the writer, [1], [3]. We shall consider the fifth one, namely, “If , must for every matrix D with cD = cA?” Here A is a conservative summability matrix with column limits .

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 4 , 01 December 1980 , pp. 421 - 424
Copyright
Copyright © Canadian Mathematical Society 1980

References

1. Beekman, W., Ùber einige Limitierungstheoretische Invarianten, Math. Z. 150 (1976), 195-199.Google Scholar
2. Bennett, G., Distinguished subsets and summability invariants, Studia Math. 40 (1971), 225-234.Google Scholar
3. Macphail, M. S., Summability invariants, Math. Z. 153 (1977), 99-100.Google Scholar
4. Macphail, M. S. and Wilansky, A., Linear junctionals and summability invariants, Canad. Math. Buli. 17 (1974), 233-242.Google Scholar
5. Wilansky, A., Distinguished subsets and summability invariants, J. Analyse Math. 12 (1964), 327-350.Google Scholar