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Criteria for positively quadratically hyponormal weighted shifts |
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| Authors: | Ju Youn Bae Il Bong Jung George R Exner |
| Institution: | Department of Mathematics, College of Natural Sciences, Kyungpook National University, Taegu 702-701, Korea ; Department of Mathematics, College of Natural Sciences, Kyungpook National University, Taegu 702-701, Korea ; Department of Mathematics, Bucknell University, Lewisburg, Pennsylvania 17837 |
| Abstract: | For bounded linear operators on Hilbert space, positive quadratic hyponormality is a property strictly between subnormality and hyponormality and which is of use in exploring the gap between these more familiar properties. Recently several related positively quadratically hyponormal weighted shifts have been constructed. In this note we establish general criteria for the positive quadratic hyponormality of weighted shifts which easily yield the results for these examples and other such weighted shifts. |
| Keywords: | Quadratically hyponormal operator positively quadratically hyponormal operator $k$-hyponormal operator |
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