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Invariant subspaces for polynomially hyponormal operators |
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| Authors: | Bebe Prunaru |
| Institution: | Department of Mathematics, Indiana University, Bloomington, Indiana 47405 - Institute of Mathematics, Romanian Academy, P. O. Box 1-764, 70700 Bucharest, Romania |
| Abstract: | We show that if  is a bounded operator on a Hilbert space such that  for every polynomial  , then  has a nontrivial invariant subspace. |
| Keywords: | Hyponormal operators dual algebras invariant subspaces |
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