Authors | Mohsen Niazi,Ali Reza Janfada |
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Journal | Sahand Communications in Mathematical Analysis |
Page number | 101-117 |
Serial number | 19 |
Volume number | 1 |
Paper Type | Full Paper |
Published At | 2022 |
Journal Grade | ISI |
Journal Type | Typographic |
Journal Country | Iran, Islamic Republic Of |
Abstract
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.
tags: Hilbert C*-module, Semi-inner product, Derivation, AntiDerivation