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A condition under which  follows from  |
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| Authors: | Takateru Okayasu Yasunori Ueta |
| Affiliation: | Faculty of Science, Yamagata University, Yamagata 990-8560, Japan Yasunori Ueta ; Graduate School of Science and Engineering, Yamagata University, Yamagata 990-8560, Japan |
| Abstract: | We will give some sufficient conditions for a  -hyponormal operator,  , to be normal, and a sufficient condition for a triplet of operators  ,  ,  with  ,  self-adjoint and  unitary such that  necessarily satisfies  . |
| Keywords: | Hyponormal operators Putnum's inequality normal approximate point spectra. |
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