| A note on uniform operators | |
|---|---|
| 學年 | 75 |
| 學期 | 1 |
| 出版（發表）日期 | 1986-08-01 |
| 作品名稱 | A note on uniform operators |
| 作品名稱（其他語言） | |
| 著者 | 王筱蘭; Wang, Hsiao-lan |
| 單位 | 淡江大學數學學系 |
| 出版者 | American Mathematical Society (AMS) |
| 著錄名稱、卷期、頁數 | Proceedings of the American Mathematical Society 97(4), pp.643-646 |
| 摘要 | An operator is uniform if its restriction to any infinite-dimensional invariant subspace is unitarily equivalent to itself. We show that a uniform operator having a proper infinite-dimensional invariant subspace resembles an analytic Toeplitz operator in the way that the weakly closed algebra generated by it and the identity operator is isomorphic to a subalgebra of the Calkin algebra; furthermore, this algebra contains no nonscalar operator which is quasi-similar to a normal operator. |
| 關鍵字 | Uniform operator;Calkin algebra;invariant subspace;normal operator;quasi-similarity;Toeplitz operator |
| 語言 | en_US |
| ISSN | 0002-9939 |
| 期刊性質 | 國外 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | ,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41679 ) |
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