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A Note on Strong Riesz Summability

Published online by Cambridge University Press:  20 November 2018

B. Thorpe
B. Thorpe*
Affiliation:
Department of Pure Mathematics, The University, Birmingham. B15 2TT, England
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Abstract

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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.

Keywords

40F0540H05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 3 , 01 September 1982 , pp. 263 - 272
Copyright
Copyright © Canadian Mathematical Society 1982

References

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