Elsa Febri Dwiyanti, Makbul Muksar
Orthogonality is a concept that exists in an inner product space related to the angles of two vectors and x orthogonality y, written x ┴ y if 〈x, y〉 = 0 [1]. Some definitions of orthogonality are Phytagorean Ortogonality symbolized x ┴ P y, Isosceles Ortogonality symbolized x ┴I y and Birkhoff-James Ortogonality symbolized x ┴BJ y. Therefore, the main article as a reference in writing this thesis is an article entitled A New Generalization of Normed Linear Space [2], so in this paper is studied about the definition and properties of orthogonality developed on generalized 2-normed space, especially for the definition of Isosceles orthogonality. This research method is the application of literature studies by collecting various information and data from related sources either from books, articles, journals or other things that can support this writing process. Based on the results of the discussion, I-orthogonality on generalized 2-normed space (X, N), x ┴I y if and only if N(x + y, z) = N(x - y, z) for each z ∈ X. Furthermore, the properties applicable to the generalized 2-normed example presented are to meet the properties of nondegeneration, symmetry, homogeneity, right additive and resolvability. © 2024 Author(s).
Department of Mathematics, Universitas Negeri Malang, Semarang 5, East Java, Malang, 65145, Indonesia
