Chooi, Wai Leong and Kwa, KiamHeong (2020) Classical adjoint commuting and determinant preserving linear maps on Kronecker products of Hermitian matrices. Linear & Multilinear Algebra, 68 (5). pp. 869-885. ISSN 03081087, DOI https://doi.org/10.1080/03081087.2018.1519010.
Full text not available from this repository.Abstract
Let psi :circle times(d)(i=1) H-ni -> circle times(d)(i=1) H-ni be a linear map on the Kronecker product of spaces of Hermitian matrices H-ni of size n(i) >= 3. (If d= 1, we identify circle times(d)(i=1) H-ni with H-ni.) We establish a condition under which psi (adj (circle times(d )(i=1)A(i))) = adj (psi(circle times(d )(i=1)A(i))) if and only if det (psi(circle times(d )(i=1)A(i))) = det (circle times(d )(i=1)A(i)) for all circle times(d )(i=1)A(i) is an element of circle times(d)(i=1) H-ni. Then for d is an element of {1,2}, we apply this fact to characterize maps psi : circle times(d)(i=1) H-ni -> circle times(d)(i=1) H-ni such that psi (adj (circle times(d )(i=1)A(i))) = adj (psi(circle times(d )(i=1)A(i))) with some mild conditions.
| Item Type: | Article |
|---|---|
| Funders: | None |
| Uncontrolled Keywords: | Classical adjoint commuting; determinant preserving; Kronecker product; Hermitian matrix |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms Zaharah Ramly |
| Date Deposited: | 04 Nov 2024 07:53 |
| Last Modified: | 04 Nov 2024 07:53 |
| URI: | http://eprints.um.edu.my/id/eprint/36698 |
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