Generalization of Some Results in Linear Orthogonality Spaces

Kanu R. U. and Rauf K.

ABSTRACT


Abstract

Let X and Y be linear orthogonality normed spaces and T:X?Y be orthogonally additive map. In this paper, we proved that T is continous if the graph of T (G(T)) is closed. Extension of some existing results to linear orthogonality spaces are also given.

Keywords: Sublinear Functional; Normed Space; Linearity; Additive Mappings.