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 -hyponormal operators are subscalar |
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| Authors: | Lin Chen Ruan Yingbin Yan Zikun |
| Institution: | Department of Mathematics, Fujian Normal University, Fuzhou, 350007, People's Republic of China Ruan Yingbin ; Department of Mathematics, University of Xiamen, Xiamen, 361005, People's Republic of China ; Department of Mathematics, Fujian Normal University, Fuzhou, 350007, People's Republic of China |
| Abstract: | We prove that if  are injective, then  is subscalar if and only if  is subscalar. As corollaries, it is shown that  -hyponormal operators  and log-hyponormal operators are subscalar; also w-hyponormal operators  with Ker Ker and their generalized Aluthge transformations  are subscalar. |
| Keywords: | Subscalar $p$-hyponormal log-hyponormal w-hyponormal Aluthge transformations |
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