L$_p$-C$^*$-Semi-Inner Product Spaces
Journal: Sahand Communications in Mathematical Analysis (Vol.19, No. 1)Publication Date: 2022-02-03
Authors : Zakiye Khalili; Alireza Janfada; Mohammad Reza Miri; Mohsen Niazi;
Page : 101-117
Keywords : Hilbert C$^*$-module; Semi-inner product; derivation; Anti-Derivation;
Abstract
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.
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Last modified: 2022-07-31 17:26:09