On the Covariance of Moore-Penrose Inverses in Rings with Involution
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 t...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/309708 |
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doaj-f732cb4ac45748939ff74a30a73fb5c02020-11-24T20:51:06ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/309708309708On the Covariance of Moore-Penrose Inverses in Rings with InvolutionHesam Mahzoon0Department of Mathematics, Islamic Azad University, Firoozkooh Branch, Firoozkooh, IranWe 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.http://dx.doi.org/10.1155/2014/309708 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hesam Mahzoon |
| spellingShingle |
Hesam Mahzoon On the Covariance of Moore-Penrose Inverses in Rings with Involution Abstract and Applied Analysis |
| author_facet |
Hesam Mahzoon |
| author_sort |
Hesam Mahzoon |
| title |
On the Covariance of Moore-Penrose Inverses in Rings with Involution |
| title_short |
On the Covariance of Moore-Penrose Inverses in Rings with Involution |
| title_full |
On the Covariance of Moore-Penrose Inverses in Rings with Involution |
| title_fullStr |
On the Covariance of Moore-Penrose Inverses in Rings with Involution |
| title_full_unstemmed |
On the Covariance of Moore-Penrose Inverses in Rings with Involution |
| title_sort |
on the covariance of moore-penrose inverses in rings with involution |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2014-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2014/309708 |
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AT hesammahzoon onthecovarianceofmoorepenroseinversesinringswithinvolution |
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