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A connection between Schur and Dieudonn\'e's theorems on spaces of bounded rank matrices
- Publication Year :
- 2024
-
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 $1$, and works best over algebraically closed fields.<br />Comment: 12 pages
- Subjects :
- Mathematics - Rings and Algebras
15A30, 15A03
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2409.19631
- Document Type :
- Working Paper