No CrossRef data available.
Article contents
On the space of matrices of given rank
Published online by Cambridge University Press: 20 January 2009
Extract
Let V and W be finite dimensional real vector spaces, k≧0 an integer. We write L(V, W) for the space of all linear maps V→W and Lk(V, W) for the subspace of maps with kernel of dimension k; in particular, L0(V, W) is the open subspace of injective linear maps. Thus Lk(ℝn, ℝn) is the space of n × n-matrices of rank n – k in the title. We also need the notation Gk(V) for the Grassmann manifold of K-dimensional subspaces of V.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 32 , Issue 1 , February 1989 , pp. 99 - 105
- Copyright
- Copyright © Edinburgh Mathematical Society 1989