$S$-limits and $A$-summability
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- by Howard T. Bell PDF
- Proc. Amer. Math. Soc. 61 (1976), 49-53 Request permission
Abstract:
Certain classes of subspaces of $m$ are examined that are the domains of uniqueness of certain Banach type limits. These subspaces are identified as the bounded convergence domains of $\mathcal {A}$-summability. As a corollary it is shown that the closure of $bs$ in $m$ is ${f_0}$. Also we characterize those matrices whose convergence domains include these spaces in a manner analogous to Lorentz’ characterization of strongly regular matrices.References
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H. T. Bell, $\mathcal {A}$-summability, Dissertation, Lehigh Univ., Bethlehem, Pa., 1971.
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 61 (1976), 49-53
- MSC: Primary 40C05
- DOI: https://doi.org/10.1090/S0002-9939-1976-0427890-7
- MathSciNet review: 0427890