Author/Authors :
Shamsi Gamchi Saeedeh نويسنده Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 ,Tehran, Iran. , Janfada Mohammad نويسنده Department of Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad Iran. , Niknam Asadollah نويسنده Department of Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad Iran.
Abstract :
In this paper, we introduce a generalization of Hilbert $C^*$-modules which are pre-Finsler modules, namely, $C^{*}$-semi-inner product spaces. Some properties and results of such spaces are investigated, specially the orthogonality in these spaces will be considered. We then study bounded linear operators on $C^{*}$-semi-inner product spaces.
