A note on linear preservers of certain ranks of tensor products of matrices
In this note, we give a simple proof as well as an extension of a very recent result of B. Zheng, J. Xu and A. Fosner concerning linear maps between vector spaces of complex square matrices that preserve the rank of tensor products of matrices by using a structure theorem of R. Westwick on linear ma...
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| Format: | Article |
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Taylor & Francis Ltd.
2015
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| _version_ | 1825720244041154560 |
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| author | Lim, Ming Huat |
| author_facet | Lim, Ming Huat |
| author_sort | Lim, Ming Huat |
| collection | UM |
| description | In this note, we give a simple proof as well as an extension of a very recent result of B. Zheng, J. Xu and A. Fosner concerning linear maps between vector spaces of complex square matrices that preserve the rank of tensor products of matrices by using a structure theorem of R. Westwick on linear maps between tensor product spaces that preserve non-zero decomposable elements. |
| first_indexed | 2024-03-06T05:32:10Z |
| format | Article |
| id | um.eprints-12830 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T05:32:10Z |
| publishDate | 2015 |
| publisher | Taylor & Francis Ltd. |
| record_format | dspace |
| spelling | um.eprints-128302019-12-04T08:08:07Z http://eprints.um.edu.my/12830/ A note on linear preservers of certain ranks of tensor products of matrices Lim, Ming Huat Q Science (General) In this note, we give a simple proof as well as an extension of a very recent result of B. Zheng, J. Xu and A. Fosner concerning linear maps between vector spaces of complex square matrices that preserve the rank of tensor products of matrices by using a structure theorem of R. Westwick on linear maps between tensor product spaces that preserve non-zero decomposable elements. Taylor & Francis Ltd. 2015 Article PeerReviewed Lim, Ming Huat (2015) A note on linear preservers of certain ranks of tensor products of matrices. Linear & Multilinear Algebra, 63 (7). pp. 1442-1447. |
| spellingShingle | Q Science (General) Lim, Ming Huat A note on linear preservers of certain ranks of tensor products of matrices |
| title | A note on linear preservers of certain ranks of tensor products of matrices |
| title_full | A note on linear preservers of certain ranks of tensor products of matrices |
| title_fullStr | A note on linear preservers of certain ranks of tensor products of matrices |
| title_full_unstemmed | A note on linear preservers of certain ranks of tensor products of matrices |
| title_short | A note on linear preservers of certain ranks of tensor products of matrices |
| title_sort | note on linear preservers of certain ranks of tensor products of matrices |
| topic | Q Science (General) |
| work_keys_str_mv | AT limminghuat anoteonlinearpreserversofcertainranksoftensorproductsofmatrices AT limminghuat noteonlinearpreserversofcertainranksoftensorproductsofmatrices |