A note on linear preservers of certain ranks of tensor products of matrices

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.

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Abstract

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.

Item Type: Article
Funders: UNSPECIFIED
Uncontrolled Keywords: Rank; Linear preservers; Tensor product; 15A04; 15A86; 15A03 ; Products of matrices
Subjects: Q Science > Q Science (General)
Depositing User: Mr Faizal 2
Date Deposited: 02 Mar 2015 02:04
Last Modified: 04 Dec 2019 08:08
URI: http://eprints.um.edu.my/id/eprint/12830

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