Toeplitz Operators and Poincaré Duality
Toeplitz Operators and Poincaré Duality
复制标题
托普利茨算子和庞加莱对偶
DOI：
10.1007/978-3-0348-5183-1_7
复制
发表时间：
1982
期刊：
影响因子：
--
通讯作者：
R. Douglas
中科院分区：
文献类型：
--
作者：
P. Baum;R. Douglas
Toeplitz [30] 介绍了所有对角线上矩阵常数的研究。这样的矩阵可以是有限的、半有限的或双无限的。除了关于此类矩阵所获得的深刻结果之外，它们的另一个令人惊奇的事情是它们在数学的各个领域（无论是纯数学还是应用数学）中出现的程度。尽管可以为此提出一些启发式甚至哲学原因，但我们在本文中仅提供一个原因，并且我们完全专注于无限的情况。
The study of matrices constant on all diagonals was introduced by Toeplitz [30]. Such matrices can be finite, semi-finite, or doubly-infinite. Aside from the profundity of results which have been obtained about such matrices the other amazing thing about them is the extent to which they occur in widely varied parts of mathematics, both pure and applied. Although several heuristic or even philosophical reasons could be advanced for this, we offer just one in this note and we concentrate entirely on the infinite cases.