Linear Functionals and Summability Invariants
Canadian mathematical bulletin, Tome 17 (1974) no. 2, pp. 233-242

Voir la notice de l'article provenant de la source Cambridge University Press

The purpose of this paper is to continue the study of certain “distinguished” subsets of the convergence domain of a matrix, as developed by A. Wilansky [6] and G. Bennett [1], We also consider continuous linear functionals on the domain, and the extent to which their representation is unique; this turns out to be connected with the behaviour of the subsets.
Macphail, M. S.; Wilansky, A. Linear Functionals and Summability Invariants. Canadian mathematical bulletin, Tome 17 (1974) no. 2, pp. 233-242. doi: 10.4153/CMB-1974-046-2
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[1] 1. Bennett, G., Distinguished subsets and summahility invariants. Studia Math. 40 (1971), 225-234. Google Scholar

[2] 2. Chang, S.-C., Conull FK spaces belonging to the class O, Math. Z. 113 (1970), 249-254. Google Scholar

[3] 3. Sember, John J., The associative part of a convergence domain is invariant, Canad. Math. Bull. 13 (1970), 147-148. Google Scholar

[4] 4. Wilansky, A., Summability: the inset, replaceable matrices, the basis in summability space, Duke Math. J. 19 (1952), 647-660. Google Scholar

[5] 5. Wilansky, A., Convergence fields of row-finite and row-infinite reversible matrices, Proc. Amer. Math. Soc. 3 (1952), 389-391. Google Scholar

[6] 6. Wilansky, A., Distinguished subsets and summability invariants, J. Analyse Math. 12 (1964), 327-350. Google Scholar

[7] 7. Wilansky, A., Functional analysis, Blaisdell, New York, 1964. Google Scholar

[8] 8. Wilansky, A. and Zeller, K., Inverses of matrices and matrix-transformations, Proc Amer. Math. Soc. 6 (1955), 414-420. Google Scholar

[9] 9. Zeller, K., Allgemeine Eigenschaften von Limitierungsverfahren, Math. Z. 53 (1951), 463- 487. Google Scholar

[10] 10. Zeller, K., Faktorfolgen bei Limitierungsverfahren, Math. Z. 56 (1952), 134-151. Google Scholar

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