%0 Journal Article %T $C^{*}$-semi-inner product spaces %J Sahand Communications in Mathematical Analysis %I University of Maragheh %Z 2322-5807 %A Shamsi Gamchi, Saeedeh %A Janfada, Mohammad %A Niknam, Asadollah %D 2018 %\ 04/01/2018 %V 10 %N 1 %P 73-83 %! $C^{*}$-semi-inner product spaces %K Semi-inner product space %K Hilbert $C^*$-module %K $C^*$-algebra %R 10.22130/scma.2017.28403 %X 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. %U https://scma.maragheh.ac.ir/article_28403_6d1882e6bcbd32d35db66b8ee540b844.pdf