Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/98659
| DC Field | Value | Language |
|---|---|---|
| dc.contributor | Department of Applied Mathematics | en_US |
| dc.creator | Huang, Z | en_US |
| dc.creator | Shi, S | en_US |
| dc.creator | Sze, NS | en_US |
| dc.date.accessioned | 2023-05-10T02:00:56Z | - |
| dc.date.available | 2023-05-10T02:00:56Z | - |
| dc.identifier.issn | 0024-3795 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10397/98659 | - |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Inc. | en_US |
| dc.rights | © 2016 Elsevier Inc. All rights reserved. | en_US |
| dc.rights | © 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/. | en_US |
| dc.rights | The following publication Huang, Z., Shi, S., & Sze, N. S. (2016). Linear rank preservers of tensor products of rank one matrices. Linear Algebra and Its Applications, 508, 255-271 is available at https://doi.org/10.1016/j.laa.2016.07.024. | en_US |
| dc.subject | Linear preserver | en_US |
| dc.subject | Rank | en_US |
| dc.subject | Tensor product | en_US |
| dc.subject | Partial transpose | en_US |
| dc.subject | Realignment | en_US |
| dc.title | Linear rank preservers of tensor products of rank one matrices | en_US |
| dc.type | Journal/Magazine Article | en_US |
| dc.identifier.spage | 255 | en_US |
| dc.identifier.epage | 271 | en_US |
| dc.identifier.volume | 508 | en_US |
| dc.identifier.doi | 10.1016/j.laa.2016.07.024 | en_US |
| dcterms.abstract | Let n1,…,nk be integers larger than or equal to 2. We characterize linear maps ϕ:Mn→Mn such thatrank(ϕ(A1⊗⋯⊗Ak))=1wheneverrank(A1⊗⋯⊗Ak)=1 for all Ai∈Mn,i=1,…,k. Applying this result, we extend two recent results on linear maps that preserve the rank of special classes of matrices. | en_US |
| dcterms.accessRights | open access | en_US |
| dcterms.bibliographicCitation | Linear algebra and its applications, 1 Nov. 2016, v. 508, p. 255-271 | en_US |
| dcterms.isPartOf | Linear algebra and its applications | en_US |
| dcterms.issued | 2016-11-01 | - |
| dc.identifier.scopus | 2-s2.0-84982836517 | - |
| dc.identifier.eissn | 1873-1856 | en_US |
| dc.description.validate | 202305 bcch | en_US |
| dc.description.oa | Accepted Manuscript | en_US |
| dc.identifier.FolderNumber | AMA-0541 | - |
| dc.description.fundingSource | RGC | en_US |
| dc.description.fundingSource | Others | en_US |
| dc.description.fundingText | PolyU | en_US |
| dc.description.pubStatus | Published | en_US |
| dc.identifier.OPUS | 6669063 | - |
| dc.description.oaCategory | Green (AAM) | en_US |
| Appears in Collections: | Journal/Magazine Article | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Sze_Linear_Rank_Preservers.pdf | Pre-Published version | 763.58 kB | Adobe PDF | View/Open |
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