| dc.contributor.author | Sharifi, K. | en_US |
| dc.contributor.author | A. Bonakdar, Behnaz | en_US |
| dc.date.accessioned | 1399-07-09T12:03:26Z | fa_IR |
| dc.date.accessioned | 2020-09-30T12:03:26Z | |
| dc.date.available | 1399-07-09T12:03:26Z | fa_IR |
| dc.date.available | 2020-09-30T12:03:26Z | |
| dc.date.issued | 2016-02-01 | en_US |
| dc.date.issued | 1394-11-12 | fa_IR |
| dc.date.submitted | 2012-08-16 | en_US |
| dc.date.submitted | 1391-05-26 | fa_IR |
| dc.identifier.citation | Sharifi, K., A. Bonakdar, Behnaz. (2016). The reverse order law for Moore-Penrose inverses of operators on Hilbert C*-modules. Bulletin of the Iranian Mathematical Society, 42(1), 53-60. | en_US |
| dc.identifier.issn | 1017-060X | |
| dc.identifier.issn | 1735-8515 | |
| dc.identifier.uri | http://bims.iranjournals.ir/article_741.html | |
| dc.identifier.uri | https://iranjournals.nlai.ir/handle/123456789/414462 | |
| dc.description.abstract | Suppose $T$ and $S$ are Moore-Penrose invertible operators between<br />Hilbert C*-module. Some necessary and sufficient conditions are given for the<br />reverse order law $(TS)^{ dag} =S^{ dag} T^{ dag}$ to hold.<br />In particular, we show that the equality holds if and only if $Ran(T^{*}TS) subseteq Ran(S)$ and $Ran(SS^{*}T^{*}) subseteq Ran(T^{*}),$ which was studied first by Greville [{it SIAM Rev. 8 (1966) 518--521}] for matrices. | en_US |
| dc.format.extent | 121 | |
| dc.format.mimetype | application/pdf | |
| dc.language | English | |
| dc.language.iso | en_US | |
| dc.publisher | Springer and the Iranian Mathematical Society (IMS) | en_US |
| dc.relation.ispartof | Bulletin of the Iranian Mathematical Society | en_US |
| dc.subject | Bounded adjointable operator | en_US |
| dc.subject | Hilbert C*-module | en_US |
| dc.subject | generalized inverse | en_US |
| dc.subject | reverse order law | en_US |
| dc.subject | 47-XX Operator theory | en_US |
| dc.title | The reverse order law for Moore-Penrose inverses of operators on Hilbert C*-modules | en_US |
| dc.type | Text | en_US |
| dc.type | Research Paper | en_US |
| dc.contributor.department | Department of Mathematics, Shahrood University of Technology, and, Mathematisches Institut, Fachbereich Mathematik und Informatik der Universitat Munster, Einsteinstrasse 62, 48149 Munster, Germany. | en_US |
| dc.contributor.department | Department of Mathematics, International Campus of Ferdowsi University, Mashhad, Iran. | en_US |
| dc.citation.volume | 42 | |
| dc.citation.issue | 1 | |
| dc.citation.spage | 53 | |
| dc.citation.epage | 60 | |
