A connection between Schur and Dieudonn\'e's theorems on spaces of bounded rank matrices
Rings and Algebras
2024-10-01 v1
Abstract
We use a double-duality argument to give a new proof of Dieudonn\'e's theorem on spaces of singular matrices. The argument connects the situation to the structure of spaces of operators with rank at most , and works best over algebraically closed fields.
Cite
@article{arxiv.2409.19631,
title = {A connection between Schur and Dieudonn\'e's theorems on spaces of bounded rank matrices},
author = {Clément de Seguins Pazzis},
journal= {arXiv preprint arXiv:2409.19631},
year = {2024}
}
Comments
12 pages