$o$-but not $O$-Tauberian theorems
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- by G. G. Lorentz and K. L. Zeller PDF
- Proc. Amer. Math. Soc. 45 (1974), 401-404 Request permission
Abstract:
Let $A$ be a regular matrix summability method. Relations between different Tauberian theorems for $A$ are discussed. We show that most summability methods possess some $o$-Tauberian theorem with the property that the corresponding $O$-Tauberian theorem is not valid.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 45 (1974), 401-404
- MSC: Primary 40E05
- DOI: https://doi.org/10.1090/S0002-9939-1974-0346370-9
- MathSciNet review: 0346370