Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/98659
| Title: | Linear rank preservers of tensor products of rank one matrices | Authors: | Huang, Z Shi, S Sze, NS |
Issue Date: | 1-Nov-2016 | Source: | Linear algebra and its applications, 1 Nov. 2016, v. 508, p. 255-271 | 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. | Keywords: | Linear preserver Rank Tensor product Partial transpose Realignment |
Publisher: | Elsevier Inc. | Journal: | Linear algebra and its applications | ISSN: | 0024-3795 | EISSN: | 1873-1856 | DOI: | 10.1016/j.laa.2016.07.024 | Rights: | © 2016 Elsevier Inc. All rights reserved. © 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/. 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. |
| Appears in Collections: | Journal/Magazine Article |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Sze_Linear_Rank_Preservers.pdf | Pre-Published version | 763.58 kB | Adobe PDF | View/Open |
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