NUMERICAL RANGES OF THE PRODUCT OF OPERATORS
| dc.citation.epage | 180 | en_US |
| dc.citation.spage | 171 | en_US |
| dc.citation.volume | 11 | en_US |
| dc.contributor.author | Du, Hongke | en_US |
| dc.contributor.author | Li, Chi-Kwong | en_US |
| dc.contributor.author | Wang, Kuo-Zhong | en_US |
| dc.contributor.author | Wang, Yueqing | en_US |
| dc.contributor.author | Zuo, Ning | en_US |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2018-08-21T05:53:02Z | |
| dc.date.available | 2018-08-21T05:53:02Z | |
| dc.date.issued | 2017-03-01 | en_US |
| dc.description.abstract | We study containment regions of the numerical range of the product of operators A and B such that W(A) and W(B) are line segments. It is shown that the containment region is equal to the convex hull of elliptical disks determined by the spectrum of AB, and conditions on A and B for the set equality holding are obtained. The results cover the case when A and B are self-adjoint operators extending the previous results on the numerical range of the product of two orthogonal projections. | en_US |
| dc.identifier.doi | 10.7153/oam-11-12 | en_US |
| dc.identifier.issn | 1846-3886 | en_US |
| dc.identifier.journal | OPERATORS AND MATRICES | en_US |
| dc.identifier.uri | http://dx.doi.org/10.7153/oam-11-12 | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/144198 | |
| dc.identifier.wosnumber | WOS:000395647000012 | en_US |
| dc.language.iso | en_US | en_US |
| dc.subject | Numerical range | en_US |
| dc.subject | product of matrices and operators | en_US |
| dc.title | NUMERICAL RANGES OF THE PRODUCT OF OPERATORS | en_US |
| dc.type | Article | en_US |
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