On the n-Normed Space of p-Integrable Functions
Shelvi Ekariani, Hendra Gunawan and Janny Lindiarni
The space L p (X), where X is a measure space with at least n disjoint subsets of positive measure, can be equipped with an n-norm, which makes L p (X) an n-normed space. The purpose of this paper is to study some properties of this n-normed space. In particular, we examine the completeness of the n-normed space and prove a contractive mapping theorem on this space.
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