چهلمین کنفرانس ریاضی ایران , 2016-08-28

Title : ( Gruss type inequalities for positive linear maps and Hilbert C-modules )

Authors: Mohammad Sal Moslehian , Ali Dadkhah ,

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In this paper, we study some Gr\"{u}ss type inequalities for positive linear maps between $C^*$ algebras and for accretive operators. In addition we generalize some Gr\"{u}ss type inequalities for Hilbert $C^*$-modules, as well as some classes of adjointable operators on these spaces. We then extend our work to give a Gr\"{u}ss type inequality for positive linear maps from $\mathcal{L}(\mathcal{X})$ into a $C^*$-algebra $\mathcal{A}$, where $\mathcal{X}$ is a Hilbert $\mathcal{A}$-module.

Keywords

, $C^*$-algebra, Gr\"{u}ss inequality, Positive linear Map, Inner product
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@inproceedings{paperid:1061351,
author = {Sal Moslehian, Mohammad and Dadkhah, Ali},
title = {Gruss type inequalities for positive linear maps and Hilbert C-modules},
booktitle = {چهلمین کنفرانس ریاضی ایران},
year = {2016},
location = {کرج, IRAN},
keywords = {$C^*$-algebra; Gr\"{u}ss inequality; Positive linear Map; Inner product $C^*$-module},
}