p-Summable Vector-Valued Sequence Spaces in Non-Archimedean 2-Normed Spaces

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 ℓp(X) for 1 ≤ p ≤ ∞. Futhermore, we show that ℓp(X) is a non-Archimedean 2-semi-normed spaces and we also give some inclusion relations on ℓ...

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Bibliographic Details
Published in:Journal of physics. Conference series 2020-08, Vol.1613 (1), p.12038
Main Authors: Nurnugroho, B A, Prasetyo, P W
Format: Article
Language:English
Subjects:
Physics
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Summary: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 ℓp(X) for 1 ≤ p ≤ ∞. Futhermore, we show that ℓp(X) is a non-Archimedean 2-semi-normed spaces and we also give some inclusion relations on ℓp(X).
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1613/1/012038