Subnormality of Aluthge transforms of weighted shits
2014.07.23 11:37
| 실적년도 | 2012년 |
|---|---|
| 논문구분 | 국외 |
| 총저자 | Sang Hoon Lee, Woo Young Lee, Jasang Yoon |
| 학술지명 | Intergal Equations Operator Theory |
| 권(Vol.) | 72 |
| 호(No.) | 2 |
| 게재년월 | 2012년 2월 |
| Impact Factor | |
| SCI 등재 | YES |
| 비고 |
In this note we study the k-hyponormality and the subnormality of Aluthge transforms of weighted shifts. It is shown that Aluthge transforms of weighted shifts need not preserve the k-hyponormality. Moreover, we show that if W α is a subnormal weighted shift with 2-atomic Berger measure then its Aluthge transform W̃ α is subnormal if and only if at least one of two atoms is zero.
Comment 0
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