Abstract
We prove that a symplectic matrix with entries in a ring with Bass stable rank one can be factored as a product of elementary symplectic matrices. This also holds for null-homotopic symplectic matrices with entries in a Banach algebra or in the ring of complex valued continuous functions on a finite dimensional normal topological space.
Original language | English |
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Pages (from-to) | 1963-1970 |
Number of pages | 8 |
Journal | Proceedings of the American Mathematical Society |
Volume | 148 |
Issue number | 5 |
Early online date | 2019 |
DOIs | |
Publication status | Published - May 2020 |
MoE publication type | A1 Journal article-refereed |