论文标题

截短的汉克尔和截断的toeplitz操作员的产物

Product of truncated Hankel and truncated Toeplitz operators

论文作者

Chu, Cheng

论文摘要

截断的toeplitz运算符是对模型空间的经典Toeplitz操作员的压缩。截断的汉克尔操作员是汉克尔操作员在耐力空间上的压缩到模型空间的正交补充。我们研究截短的Hankel操作员和截短的Toeplitz操作员的乘积,并在此产品为零或紧凑时表征。

A truncated Toeplitz operator is the compression of a classical Toeplitz operator on the Hardy space to a model space. A truncated Hankel operator is the compression of a Hankel operator on the Hardy space to the orthogonal complement of a model space. We study the product of a truncated Hankel operator and a truncated Toeplitz operator, and characterize when such a product is zero or compact.

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