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Weakly Sequential Completeness of Banach-Valued Sequence Spaces ℓ p [X]

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Abstract

The weakly sequential completeness of the Banach-valued sequence space ℓ p [X], the space of weakly p-summable sequences on a Banach space X, is characterized in terms of the weakly sequntial completeness and (q)-property of X.

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  1. Department of Mathematics and Computer Science, Kent State University, Kent, Ohio, 44242, USA E-mail

    Q. Y. Bu

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Bu, Q.Y. Weakly Sequential Completeness of Banach-Valued Sequence Spaces ℓ p [X]. Acta Mathematica Hungarica 89, 259–267 (2000). https://doi.org/10.1023/A:1010668110817

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