Normal operators in ![]() -algebras without nice approximants |
| |
| Authors: | Don Hadwin Terry A. Loring |
| |
| Affiliation: | Department of Mathematics, University of New Hampshire, Durham, New Hampshire 03824 ; Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131 |
| |
| Abstract: | The second author constructed a separable direct limit  -algebra with real rank zero containing a normal element whose spectrum is the closed unit disk that is not the limit of normal elements in the limiting algebras, and is not a limit of normals in the algebra having finite spectrum. We use Fredholm index theory to modify and simplify this construction to obtain such examples that are not limits of any ``nice' types of elements. |
| |
| Keywords: | |
|
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 |
|
点击此处可从《Proceedings of the American Mathematical Society》下载全文 |
