Muhammad Jakfar, Manuharawati, Budi Rahadjeng
The theory about p-summable sequence space ℓpcontinues to develop in the world. many mathematicians generalize the space. One generalization is called discrete Morrey space. However, research on discrete Morrey spaces still includes natural norms. In this paper, we examine the space mu,p equipped with a natural 2-normed, which can be seen as an extension of the conventional norm. Additionally, we introduce an inner product defined on mu,p. Using the 2-norm and the inner product, we construct two definition of angle between to sequence on mu,p. Finally, we will describe the relationship between these two angles. In addition, we also define a n-norm in the space. © 2026 Author(s).
Mathematics Department, Faculty of Mathematics and Sciences, State University of Surabaya, South Ketintang Street, Ketintang Subdistrict, Gayungan District, East Java, Surabaya City, 60231, Indonesia