What kind of operators have few invariant subspaces? (Q1095222)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: What kind of operators have few invariant subspaces? |
scientific article; zbMATH DE number 4027684
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | What kind of operators have few invariant subspaces? |
scientific article; zbMATH DE number 4027684 |
Statements
What kind of operators have few invariant subspaces? (English)
0 references
1987
0 references
Let V be a complex finite dimensional vector space and T a linear operator on V. A subspace M of V is called invariant (hyperinvariant) under T if TM\(\subset M\) (respectively, if SM\(\subset M\) for every linear operator S on V commuting with T). The author gathers, and enlarges a list of conditions equivalent to ``Every invariant subspace of T is hyperinvariant''. The proofs given are simple.
0 references
hyperinvariant subspaces
0 references
minimal and characteristic polynomials
0 references
cyclic vectors
0 references
