| |
|
Chafiq Benhida,
Emmanuel Fricain, and
Dan Timotin
Reducing subspaces of C00 contractions
view
print
|
|
| Published: |
December 8, 2021. |
| Keywords: |
Truncated Toeplitz operators, reducibility, model space. |
| Subject: |
47B35,47A15,47B38. |
|
|
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.
|
|
| Acknowledgements
This work was partially supported by Labex CEMPI (ANR-11-LABX-0007).
|
|
| Author information
Chafiq Benhida:
Laboratoire Paul Painlevé
Université Lille 1
59 655 Villeneuve d'Ascq Cédex, France
chafiq.benhida@univ-lille.fr
Emmanuel Fricain:
Laboratoire Paul Painlevé
Université Lille 1
59 655 Villeneuve d'Ascq Cédex, France
emmanuel.fricain@univ-lille.fr
Dan Timotin:
Simion Stoilow Institute of Mathematics
The Romanian Academy
PO Box 1-764, Bucharest 014700, Romania
Dan.Timotin@imar.ro
|
|
