Lp-C*-semi-inner product spaces

چکیده مقاله

This article introduces the notion of Lp-C*-semi-inner product space, a generalization of the concept of C*-semi-inner product space introduced by Gamchi et al., where we consider Hölder’s inequality instead of Cauchy Schwartz’ inequality. We establish some basic results Lp-C*-semi-inner product spaces, analogous to those valid for C*-semi-inner product spaces and Hilbert C*-modules.