期刊论文详细信息
Canadian mathematical bulletin | |
The Commutant of an Abstract Backward Shift | |
关键词: backward shift; commutant; | |
DOI : 10.4153/CMB-2000-003-9 | |
学科分类:数学(综合) | |
来源: University of Toronto Press * Journals Division | |
【 摘 要 】
A bounded linear operator $T$ on a Banach space $X$ is an abstractbackward shift if the nullspace of $T$ is one dimensional, and theunion of the null spaces of $T^k$ for all $k geq 1$ is dense in$X$. In this paper it is shown that the commutant of an abstractbackward shift is an integral domain. This result is used toderive properties of operators in the commutant.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO201912050576125ZK.pdf | 36KB | download |