Note on the Covariance Coset of the Moore-Penrose Inverses in C∗ -Algebras

We will introduce and study several algebraic properties of the covariance cosets in C ∗ -algebras. Indeed, we will characterize the covariance coset in terms of commutators. Also, we will show that for an invertible element b, the covariance coset of b −1 coincides with the covariance coset...

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Bibliographic Details
Main Author: M. H. Alizadeh
Format: Article
Language:English
Published: Islamic Azad University 2013-03-01
Series:Journal of Mathematical Extension
Online Access:http://ijmex.com/index.php/ijmex/article/view/134/106