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1. On the Covariance of Moore-Penrose Inverses in Rings with Involution.

Author

Mahzoon, Hesam

Subjects
*MATHEMATICAL analysis, *FUNCTIONAL analysis, *ALGEBRA education, *BAUM-Connes conjecture, *TOPOLOGY, *BANACH algebras
Abstract

We consider the so-called covariance set of Moore-Penrose inverses in rings with an involution. We deduce some new results concerning covariance set. We will show that if a is a regular element in a C*-algebra, then the covariance set of a is closed in the set of invertible elements (with relative topology) of C*-algebra and is a cone in the C*-algebra [ABSTRACT FROM AUTHOR]

Published
2014
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