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Hyperinvariant subspaces for some subnormal operators |
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| Authors: | C. Foias I. B. Jung E. Ko C. Pearcy |
| Affiliation: | Department of Mathematics, Texas A & M Univeristy, College Station, Texas 77843 ; Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 701-701, Korea ; Department of Mathematics, Ewha Women's University, Seoul 120-750, Korea ; Department of Mathematics, Texas A & M University, College Station, Texas 77843 |
| 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  such that either  does not converge in the SOT to the identity operator or  does not converge in the SOT to zero has a nontrivial hyperinvariant subspace. |
| Keywords: | Subnormal operators hyperinvariant subspaces spectral measures. |
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