Abstract
We consider a family of operators determined by a sequence of operator norms. When the sequence of norms is determined by a single operator the natural question that arises is when the algebra properly contains the commutant of the operator. In this case the existence of invariant subspaces for the algebra is stronger than the existence of hyperinvariant subspaces for the operator.
| Original language | English |
|---|---|
| Pages (from-to) | 317-341 |
| Number of pages | 25 |
| Journal | Journal of Operator Theory |
| Volume | 60 |
| Issue number | 2 |
| State | Published - 1 Sep 2008 |
Keywords
- Invariant subspace
- Operator algebras
- Operator norms
- Spectral radius algebra
ASJC Scopus subject areas
- Algebra and Number Theory