| H~2(S)上Toeplitz算子本质谱的局部分解 |
| |
| 引用本文： | 卢玉峰,孙善利,许凤.H~2(S)上Toeplitz算子本质谱的局部分解[J].数学学报,1998,41(4):865-870. |
| |
| 作者姓名： | 卢玉峰 孙善利 许凤 |
| |
| 作者单位： | 吉林大学数学所，东北师范大学数学系 |
| |
| 基金项目： | 国家自然科学基金,国家教委博士点基金 |
| |
| 摘 要： | 本文利用Ｂａｎａｃｈ代数中局部化原理给出了多复变Ｈａｒｄｙ空间上Ｔｏｅｐｌｉｔｚ算子是Ｆｒｅｄｈｏｌｍ算子的一个充分必要条件；同时给出了Ｔｏｅｐｌｉｔｚ算子本质谱的局部分解．
|
| 关 键 词： | Toeplitz算子，Fredholm算子，本质谱，极大理想空间，纤维 |
Local Decomposition of the Essential Spectra of Toeplitz Operators on H 2(S) |
| |
| Lu Yufeng,\ \ Sun Shanli.Local Decomposition of the Essential Spectra of Toeplitz Operators on H 2(S)[J].Acta Mathematica Sinica,1998,41(4):865-870. |
| |
| Authors: | Lu Yufeng \ \ Sun Shanli |
| |
| Institution: | Lu Yufeng \ \ Sun Shanli (Institute of Mathematics, Jilin University, Changchun 130023, China) Xu Feng (Department of Mathematics, Northeast Normal University, Changchun 130024, China) |
| |
| Abstract: | In this paper, a sufficient and necessary condition for Toeplitz operators on Hardy space of unit sphere S of C n to be Fredholm operators is given by using the local method of Banach algebra. Meanwhile, we give the local decomposition of the essential spectra of Toeplitz operators on H 2(S). |
| |
| Keywords: | Toeplitz operator Fredholm operator Essential spectrum Maximal ideal space Fiber |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
