Document Type
Article
Department/Program
Mathematics
Journal Title
Linear Algebra and Its Applications
Pub Date
2013
Volume
438
Issue
10
First Page
3797
Abstract
It is shown that the linear group of automorphism of Hermitian matrices which preserves the tensor product of unitary orbits is generated by natural automorphisms: change of an orthonormal basis in each tensor factor, partial transpose in each tensor factor, and interchanging two tensor factors of the same dimension. The result is then applied to show that automorphisms of the product numerical ranges have the same structure. (C) 2011 Elsevier Inc. All rights reserved.
Recommended Citation
Li, Chi-Kwong; Poon, Yiu-Tung; and Sze, Nung-Sing, Linear preservers of tensor product of unitary orbits, and product numerical range (2013). Linear Algebra and Its Applications, 438(10), 3797-3803.
10.1016/j.laa.2011.07.039
DOI
10.1016/j.laa.2011.07.039
