Lp-C*-semi-inner product spaces

AuthorsMohsen Niazi,Ali Reza Janfada
JournalSahand Communications in Mathematical Analysis
Page number101-117
Serial number19
Volume number1
Paper TypeFull Paper
Published At2022
Journal GradeISI
Journal TypeTypographic
Journal CountryIran, 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.

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tags: Hilbert C*-module, Semi-inner product, Derivation, AntiDerivation