A Note on Strong Riesz Summability
Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 263-272
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This note proves that if 1 ≤ p < ∞ and 1 − 1/p < k < 2 − 1/p then the space of sequences strongly Riesz summable [R, λ, k]p to 0 has AK. Using general results of Jakimovski and Russell it is then possible to deduce a best possible limitation condition and a convergence factor result for [R, λ, k]p.
Thorpe, B. A Note on Strong Riesz Summability. Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 263-272. doi: 10.4153/CMB-1982-038-4
@article{10_4153_CMB_1982_038_4,
author = {Thorpe, B.},
title = {A {Note} on {Strong} {Riesz} {Summability}},
journal = {Canadian mathematical bulletin},
pages = {263--272},
year = {1982},
volume = {25},
number = {3},
doi = {10.4153/CMB-1982-038-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-038-4/}
}
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