PreprintCC BY 4.0arXiv
Linear maps preserving the Cullis' determinant. III
Abstract
This paper is the third in the series of papers devoted to the explicit description of linear maps preserving the Cullis' determinant of rectangular matrices of size n× k with entries belonging to an arbitrary ground field which is large enough. In this part we study the remaining case where k = 3 and n ≥ k + 2 = 5 and prove that every linear map preserving the Cullis' determinant admits the same description as for the case where k ≥ 4 and n ≥ k + 2 obtained previously.
Versions
Related
- Linear maps preserving the matrix discriminant. An enhanced approach
- Linear maps preserving families of C-symmetric operators
- Linear maps of C*-algebras preserving norm parallelism
- Linear maps preserving Kasparov cycles and the characterization of induced automorphisms
- Linear Rank Nonincreasing and Preserving Maps between Matrix Spaces
BibTeX
@misc{guterman2026linear,
title = {{Linear maps preserving the Cullis' determinant. III}},
author = {Alexander Guterman and Andrey Yurkov},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01242},
eprint = {2611.01242},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01242},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Linear maps preserving the Cullis' determinant. III
AU - Alexander Guterman
AU - Andrey Yurkov
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01242
UR - https://arxiv.org/abs/2611.01242
AB - This paper is the third in the series of papers devoted to the explicit description of linear maps preserving the Cullis' determinant of rectangular matrices of size n× k with entries belonging to an arbitrary ground field which is large enough. In this part we study the remaining case where k = 3 and n ≥ k + 2 = 5 and prove that every linear map preserving the Cullis' determinant admits the same description as for the case where k ≥ 4 and n ≥ k + 2 obtained previously.
ER -