Title of article :
Lp-C∗-Semi-Inner Product Spaces
Author/Authors :
Khalili ، Zakiye Department of Mathematics - University of Birjand , Janfada ، Alireza Department of Mathematics - University of Birjand , Miri ، Mohammad Reza Department of Mathematics - University of Birjand , Niazi ، Mohsen Department of Mathematics - University of Birjand
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.
Keywords :
Hilbert C∗ , module , Semi , inner product , Derivation , Anti , Derivation
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
