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On subseries convergence inF-spaces

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Abstract

In this note, we show that a series, Σx n , in a complete linear metric space with a basis is subseries convergent if and only if it is weakly subseries convergent.

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Authors and Affiliations

  1. Florida State University, USA

    W. J. Stiles

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  1. W. J. Stiles
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Stiles, W.J. On subseries convergence inF-spaces. Israel J. Math. 8, 53–56 (1970). https://doi.org/10.1007/BF02771550

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  • DOI: https://doi.org/10.1007/BF02771550

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