The Associative Part of a Convergence Domain is Invariant
Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 147-148
Voir la notice de l'article provenant de la source Cambridge University Press
Of special interest in summability theory are those conservative matrices possessing the "mean-value property". If c A ={x: Ax ∊ c} denotes the convergence domain of a conservative matrix A, then A has the mean-value property in case, for each x in c A , there exists M = M(A, x) > 0 such that 1 This property has been considered by many writers and has been shown, among other things, to be equivalent to the requirement that the matrix be associative, i.e., for each x in c A 2
Sember, John J. The Associative Part of a Convergence Domain is Invariant. Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 147-148. doi: 10.4153/CMB-1970-033-2
@article{10_4153_CMB_1970_033_2,
author = {Sember, John J.},
title = {The {Associative} {Part} of a {Convergence} {Domain} is {Invariant}},
journal = {Canadian mathematical bulletin},
pages = {147--148},
year = {1970},
volume = {13},
number = {1},
doi = {10.4153/CMB-1970-033-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-033-2/}
}
[1] 1. Wilansky, A., Distinguished subsets and summability invariants, J. Analys. Math. 12 (1964), 327-350. Google Scholar
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