| Issue |
ITM Web Conf.
Volume 36, 2021
The 16th IMT-GT International Conference on Mathematics, Statistics and their Applications (ICMSA 2020)
|
|
|---|---|---|
| Article Number | 03002 | |
| Number of page(s) | 10 | |
| Section | Discrete Mathematics | |
| DOI | https://doi.org/10.1051/itmconf/20213603002 | |
| Published online | 26 January 2021 | |
Rank 2 preservers on symmetric matrices with zero trace
Department of Mathematical and Data Science, Faculty of Computing and Information Technology, Tunku Abdul Rahman University College 53300 Kuala Lumpur, Malaysia
* Corresponding author: kokwk@tarc.edu.my
Let F be a field, V1 and V2 be vector spaces of matrices over F and let ρ be the rank function. If T :V1 → V2 is a linear map, and k a fixed positive integer, we say that T is a rank k preserver if for any matrix Aϵ, V1 ρ(A) = k implies ρ(T( A))= k . In this paper, we characterize those rank 2 preservers on symmetric matrices with zero trace under certain conditions.
© The Authors, published by EDP Sciences, 2021
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