论文标题
还原$ C_ {00} $收缩子空间
Reducing subspaces of $C_{00}$ contractions
论文作者
论文摘要
使用SZ.-Nagy-Foias收缩理论，我们获得了有关一类完全不合格收缩的降低性的一般结果。这些应用于某些截短的Toeplitz运算符，以前由Li-Yang-Lu和Gu认为。特别是，对后者说明的猜想给出了负面答案。
Using the Sz.-Nagy--Foias theory of contractions, we obtain general results about reducibility for a class of completely nonunitary contractions. These are applied to certain truncated Toeplitz operators, previously considered by Li--Yang--Lu and Gu. In particular, a negative answer is given to a conjecture stated by the latter.
