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http://hdl.handle.net/10397/62072| Title: | Linear rank preservers of tensor products of rank one matrices | Authors: | Huang, Z Shi, S Sze, NS |
Keywords: | Linear preserver Partial transpose Rank Realignment Tensor product |
Issue Date: | 2016 | Publisher: | North-Holland | Source: | Linear algebra and its applications, 2016, v. 508, p. 255-271 How to cite? | Journal: | Linear algebra and its applications | Abstract: | Let n1,…,nk be integers larger than or equal to 2. We characterize linear maps ϕ:Mn1⋯nk→Mn1⋯nk such thatrank(ϕ(A1⊗⋯⊗Ak))=1wheneverrank(A1⊗⋯⊗Ak)=1 for all Ai∈Mni,i=1,…,k. Applying this result, we extend two recent results on linear maps that preserve the rank of special classes of matrices. | URI: | http://hdl.handle.net/10397/62072 | ISSN: | 0024-3795 | EISSN: | 1873-1856 | DOI: | 10.1016/j.laa.2016.07.024 |
| Appears in Collections: | Journal/Magazine Article |
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