Abstract
Let (X, ‖., .‖) be a non-Archimedean 2-normed spaces. In this paper, we construct p-summable vector-valued sequence spaces in non-Archimedean 2-normed spaces ℓ p (X) for 1 ≤ p ≤ ∞. Futhermore, we show that ℓ p (X) is a non-Archimedean 2-semi-normed spaces and we also give some inclusion relations on ℓ p (X).
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