1. Generators for this invariant subspace are denoted by q, t. 2. Invariant subspaces have importance besides finite-dimensional group representation theory.3. Therefore, every such linear operator has a non-trivial invariant subspace . 4. Then the space of all standard elements infinitely close to is the desired invariant subspace . 5. Intuitively, we glob together the Jordan block invariant subspaces corresponding to the same eigenvalue. 6. Every compact operator on a complex Banach space has a nest of closed invariant subspaces . 7. This has invariant subspaces of dimension 1, 12 ( the Golay code ), and 23. 8. In the infinite dimensional setting, not every bounded operator on a Banach space has an invariant subspace . 9. In this context, an invariant subspace is spanned by basis vectors which correspond to particles in a family. 10. In the 1990s, Enflo developed a " constructive " approach to the invariant subspace problem on Hilbert spaces.
Mobile