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