subspace in a sentence

Examples

1. for each infinite-dimensional subspace X _ 0 of X.
2. However it is possible for infinite dimensional subspaces to be finite.
3. A linear subspace W \ subset V is called "'
4. Also, every infinite-dimensional subspace of is finitely universal.
5. There are two subspaces that are closed respect to the product.
6. The 1 degree of freedom is the dimension of this subspace.
7. Linear subspaces, flats were not available to me for explanation.
8. Generators for this invariant subspace are denoted by q, t.
9. Invariant subspaces have importance besides finite-dimensional group representation theory.
10. Modern examination of the commutator subspace involves checking its spectral characterisation.