Note on the Invariance Properties of Operator Products Involving Generalized Inverses
We investigate further the invariance properties of the bounded linear operator product AC1 B1 D and its range with respect to the choice of the generalized inverses X and Y of bounded linear operators. Also, we discuss the range inclusion invariance properties of the operator product involving gene...
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| Main Authors: | , , |
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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/10.1155/2014/213458 |
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| _version_ | 1832566842330185728 |
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| author | Xiaoji Liu Miao Zhang Yaoming Yu |
| author_facet | Xiaoji Liu Miao Zhang Yaoming Yu |
| author_sort | Xiaoji Liu |
| collection | DOAJ |
| description | We investigate further the invariance properties of the bounded linear operator product AC1 B1 D and its range with respect to the choice of the generalized inverses X and Y of bounded linear operators. Also, we discuss the range inclusion invariance properties of the operator product involving generalized inverses. |
| format | Article |
| id | doaj-art-9aba5074a57043adbd318ec26000d343 |
| 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-9aba5074a57043adbd318ec26000d3432025-02-03T01:03:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/213458213458Note on the Invariance Properties of Operator Products Involving Generalized InversesXiaoji Liu0Miao Zhang1Yaoming Yu2College of Science, Guangxi University for Nationalities, Nanning 530006, ChinaCollege of Science, Guangxi University for Nationalities, Nanning 530006, ChinaSchool of Mathematical Sciences, Monash University, Melbourne, VIC 3800, AustraliaWe investigate further the invariance properties of the bounded linear operator product AC1 B1 D and its range with respect to the choice of the generalized inverses X and Y of bounded linear operators. Also, we discuss the range inclusion invariance properties of the operator product involving generalized inverses.http://dx.doi.org/10.1155/2014/213458 |
| spellingShingle | Xiaoji Liu Miao Zhang Yaoming Yu Note on the Invariance Properties of Operator Products Involving Generalized Inverses Abstract and Applied Analysis |
| title | Note on the Invariance Properties of Operator Products Involving Generalized Inverses |
| title_full | Note on the Invariance Properties of Operator Products Involving Generalized Inverses |
| title_fullStr | Note on the Invariance Properties of Operator Products Involving Generalized Inverses |
| title_full_unstemmed | Note on the Invariance Properties of Operator Products Involving Generalized Inverses |
| title_short | Note on the Invariance Properties of Operator Products Involving Generalized Inverses |
| title_sort | note on the invariance properties of operator products involving generalized inverses |
| url | http://dx.doi.org/10.1155/2014/213458 |
| work_keys_str_mv | AT xiaojiliu noteontheinvariancepropertiesofoperatorproductsinvolvinggeneralizedinverses AT miaozhang noteontheinvariancepropertiesofoperatorproductsinvolvinggeneralizedinverses AT yaomingyu noteontheinvariancepropertiesofoperatorproductsinvolvinggeneralizedinverses |