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On the Helton class of -hyponormal operators |
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| Authors: | Yoenha Kim Eungil Ko Ji Eun Lee |
| Institution: | Department of Mathematics, Ewha Women's University, Seoul 120-750, Korea ; Department of Mathematics, Ewha Women's University, Seoul 120-750, Korea ; Department of Mathematics, Ewha Women's University, Seoul 120-750, Korea |
| Abstract: | In this paper we show that the Helton class of -hyponormal operators has scalar extensions. As a corollary we get that each operator in the Helton class of  -hyponormal operators has a nontrivial invariant subspace if its spectrum has its interior in the plane. |
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