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arXiv · 2012.06406

Reducing subspaces of $C_{00}$ contractions

Chafiq Benhida·Emmanuel Fricain·Dan Timotin
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Abstract

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.

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Chafiq Benhida, Emmanuel Fricain, Dan Timotin. 2020-12-11. Reducing subspaces of $C_{00}$ contractions. https://arxiv.org/abs/2012.06406

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