Title of article :
On Linear Operators that Preserve BJ-Orthogonality in 2-Normed Spaces
Author/Authors :
Iran manesh, M Shahroud University of Technology , Ganjbakhsh Sanatee, A Quchan University of Technology
Abstract :
Let X be a real 2-Banach space. We follow Gunawan, Mashadi, Gemawati, Nursupiamin and Siwaningrum in saying that I is orthogonal to y if there exists a subspace V of X with codim(V) = 1 such that 2 +/y, z > 2, z for every z EV and I ER. In this paper, we prove that every linear mapping T : X + X which preserve orthogonality is a 2-isometry multiplied by a constant.
Keywords :
2-isometry , 2-Normed space , Birkhoff-James orthogonality , 2-Banach space
Journal title :
Journal of Mathematical Extension(IJME)
