Abstract
In this article we employ a technique originated by Enflo in 1998 and later modified by the authors to study the hyperinvariant subspace problem for subnormal operators. We show that every "normalized" subnormal operator S such that either {(S*nSn)1/n} does not converge in the SOT to the identity operator or {(SnS *n)1/n} does not converge in the SOT to zero has a nontrivial hyperinvariant subspace.
Original language | English |
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Pages (from-to) | 2899-2913 |
Number of pages | 15 |
Journal | Transactions of the American Mathematical Society |
Volume | 359 |
Issue number | 6 |
DOIs | |
State | Published - Jun 2007 |
Keywords
- Hyperinvariant subspaces
- Spectral measures
- Subnormal operators