# Article

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Keywords:
vector-valued sequence space; Köthe dual; GAK-space; Grothendieck space
Summary:
In this paper, we show the representation of Köthe dual of Banach sequence spaces $\ell _p[X]$ $(1\leq p< \infty )$ and give a characterization of that the spaces $\ell _p[X]$ $(1< p< \infty )$ are Grothendieck spaces.
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