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

Hesam Mahzoon

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/309708

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:309708

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