Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-Algebras
We study several algebraic properties of dual covariance and weighted dual covariance sets in rings with involution and C*-algebras. Moreover, we show that the weighted dual covariance set, seen as a multivalued map, has some kind of continuity. Also, we prove weighed dual covariance set invariant u...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/918107 |
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| _version_ | 1832553415359594496 |
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| author | Hesam Mahzoon |
| author_facet | Hesam Mahzoon |
| author_sort | Hesam Mahzoon |
| collection | DOAJ |
| description | We study several algebraic properties of dual covariance and weighted dual covariance sets in rings with involution and C*-algebras. Moreover, we show that the weighted dual covariance set, seen as a multivalued map, has some kind of continuity. Also, we prove weighed dual covariance set invariant under the bijection multiplicative *-functions. |
| format | Article |
| id | doaj-art-a2695d687d5d4d4bb0c9b657338bb83b |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a2695d687d5d4d4bb0c9b657338bb83b2025-02-03T05:54:01ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/918107918107Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-AlgebrasHesam Mahzoon0Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, IranWe study several algebraic properties of dual covariance and weighted dual covariance sets in rings with involution and C*-algebras. Moreover, we show that the weighted dual covariance set, seen as a multivalued map, has some kind of continuity. Also, we prove weighed dual covariance set invariant under the bijection multiplicative *-functions.http://dx.doi.org/10.1155/2014/918107 |
| spellingShingle | Hesam Mahzoon Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-Algebras Journal of Applied Mathematics |
| title | Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-Algebras |
| title_full | Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-Algebras |
| title_fullStr | Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-Algebras |
| title_full_unstemmed | Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-Algebras |
| title_short | Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-Algebras |
| title_sort | weighted dual covariance moore penrose inverses with respect to an invertible element in c algebras |
| url | http://dx.doi.org/10.1155/2014/918107 |
| work_keys_str_mv | AT hesammahzoon weighteddualcovariancemoorepenroseinverseswithrespecttoaninvertibleelementincalgebras |