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

Ming Huat Lim

Document Type

Article

Publication Date

1-1-2015

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.

Keywords

Rank, Linear preservers, Tensor product, 15A04, 15A86, 15A03, Products of matrices

Publication Title

Linear & Multilinear Algebra

Volume

63

Issue

7

Publisher

Taylor & Francis Ltd.

Publisher Location

4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND

This document is currently not available here.

Share

COinS