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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Wiley
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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| _version_ | 1832548718301151232 |
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| author | Hesam Mahzoon |
| author_facet | Hesam Mahzoon |
| author_sort | Hesam Mahzoon |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-f732cb4ac45748939ff74a30a73fb5c0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f732cb4ac45748939ff74a30a73fb5c02025-02-03T06:13:25ZengWileyAbstract 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 |
| spellingShingle | Hesam Mahzoon On the Covariance of Moore-Penrose Inverses in Rings with Involution Abstract and Applied Analysis |
| title | 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_short | On the Covariance of Moore-Penrose Inverses in Rings with Involution |
| title_sort | on the covariance of moore penrose inverses in rings with involution |
| url | http://dx.doi.org/10.1155/2014/309708 |
| work_keys_str_mv | AT hesammahzoon onthecovarianceofmoorepenroseinversesinringswithinvolution |