The spectrum of the product of operators, and the product of their numerical ranges
| dc.citation.epage | 499 | en_US |
| dc.citation.spage | 487 | en_US |
| dc.citation.volume | 469 | en_US |
| dc.citation.woscount | 0 | en_US |
| dc.contributor.author | Li, Chi-Kwong | en_US |
| dc.contributor.author | Tsai, Ming-Cheng | en_US |
| dc.contributor.author | Wang, Kuo-Zhong | en_US |
| dc.contributor.author | Wong, Ngai-Ching | en_US |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2015-07-21T08:29:11Z | |
| dc.date.available | 2015-07-21T08:29:11Z | |
| dc.date.issued | 2015-03-15 | en_US |
| dc.description.abstract | We show that a compact operator A is a multiple of a positive semi-definite operator if and only if sigma(AB) subset of <(W(A)W(B))over bar>, for all (rank one) operators B. An example of a normal operator is given to show that the equivalence conditions may fail in general. We then obtain conditions to identify other classes of operators A so that equivalence conditions hold. (C) 2014 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.laa.2014.11.024 | en_US |
| dc.identifier.issn | 0024-3795 | en_US |
| dc.identifier.journal | LINEAR ALGEBRA AND ITS APPLICATIONS | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1016/j.laa.2014.11.024 | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/124306 | |
| dc.identifier.wosnumber | WOS:000348883600021 | en_US |
| dc.language.iso | en_US | en_US |
| dc.subject | Numerical range | en_US |
| dc.subject | Spectrum | en_US |
| dc.subject | Positive operators | en_US |
| dc.title | The spectrum of the product of operators, and the product of their numerical ranges | en_US |
| dc.type | Article | en_US |
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