Linear and multilinear algebra; matrix theory Linear maps Concept
Invariant subspace
Summary
A subspace is invariant under a linear map from a space to itself when the map sends every vector of the subspace into the subspace.
Where this leads
8 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Invariant_subspace, For a single operator
About this page
| Tag | 0ACX5QT8TE |
|---|---|
| URI | m2://0ACX5QT8TE |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15A04, 47A15 |
| Specializes | Linear subspace |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Special cases
Definitions
Used by
- Subnormal operator
- Invariant subspace problem
- Lomonosov's invariant subspace theorem
- Nest algebra
- Complete reducibility of representations of compact groups
- Borel density theorem
- Irreducible representation
- Reflexive operator algebra