%0 Journal Article %T L$_p$-C$^*$-Semi-Inner Product Spaces %J Sahand Communications in Mathematical Analysis %I University of Maragheh %Z 2322-5807 %A Khalili, Zakiye %A Janfada, Alireza %A Miri, Mohammad Reza %A Niazi, Mohsen %D 2022 %\ 02/01/2022 %V 19 %N 1 %P 101-117 %! L$_p$-C$^*$-Semi-Inner Product Spaces %K Hilbert C$^*$-module %K Semi-inner product %K derivation %K Anti-Derivation %R 10.22130/scma.2021.526207.918 %X This article introduces the notion of L$_p$-C$^*$-semi-inner product space, a generalization of the concept of C$^*$-semi-inner product space  introduced by Gamchi et al., where we consider H\"{o}lder's inequality instead of Cauchy Schwartz' inequality. We establish some basic results L$_p$-C$^*$-semi-inner product spaces, analogous to those valid for C$^*$-semi-inner product spaces and Hilbert C$^*$-modules. %U https://scma.maragheh.ac.ir/article_249417_5b0ef11400191836daa3c4b5bc34b439.pdf