Document Type : Research Paper


1 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 ,Tehran, Iran.

2 Department of Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad Iran.


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.


Main Subjects

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