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A Note on Strong Riesz Summability
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Research Article
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- Copyright © Canadian Mathematical Society 1982