Subscalarity of operator transforms
2015.07.24 13:59
| 실적년도 | 2015년 |
|---|---|
| 논문구분 | 국외 |
| 총저자 | Eungil Ko, Sungeun Jung, shinhea Park |
| 학술지명 | Mathematische Nachrichten |
| 권(Vol.) | |
| 호(No.) | |
| 게재년월 | 2015년 7월(Online) |
| Impact Factor | |
| SCI 등재 | |
| 비고 |
In this paper, we provide various connections between a bounded linear operator T and some of its transforms, namely the Aluthge transform {\widetilde{T}}^A, Duggal transform {\widetilde{T}}^D, and mean transform {\widehat{T}} . In particular, we show that under the condition that |T|U|T| = |T|^{2}U where T = U|T| is the polar decomposition, if one of T , {\widetilde{T}}^D, and {\widetilde{T}}^A is subscalar of finite order, then {\widehat{T}} is also subscalar of finite order. As an application, we find subscalar operator matrices. We also give several spectral relations. Finally, we provide an equivalent condition under which a weighted shift has a hyponormal iterated mean transform.
Comment 0
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|---|---|---|---|
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Subscalarity of operator transforms
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