Maximal nests in the Calkin algebra |
| |
| Authors: | Don Hadwin |
| |
| Institution: | Department of Mathematics, University of New Hampshire, Durham, New Hampshire 03824 |
| |
| Abstract: | We prove that if two countable commutative lattices of projections in the Calkin algebra are order isomorphic, then they are unitarily equivalent. We show that there are isomorphic maximal nests of projections in the Calkin algebra that are order isomorphic but not similar. Assuming the continuum hypothesis, we show that all maximal nests of projections in the Calkin algebra are order isomorphic. |
| |
| 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》下载免费的PDF全文 |
