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

Hesam Mahzoon

Abstract and Applied Analysis, 2014, vol. 2014, 1-6

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 is a regular element in a -algebra, then the covariance set of is closed in the set of invertible elements (with relative topology) of -algebra and is a cone in the -algebra.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:309708

DOI: 10.1155/2014/309708

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