Title :

Reducing subspaces of C 00 contractions

Author(s) :

Benhida, Chafiq [Auteur]
Université de Lille
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Fricain, Emmanuel [Auteur]
Université de Lille
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Timotin, Dan [Auteur]
Romanian Academy of Sciences
"Simion Stoilow" Institute of Mathematics [IMAR]

Journal title :

New York Journal of Mathematics

Pages :

1597–1612

Publisher :

Electronic Journals Project

Publication date :

2021

ISSN :

1076-9803

English keyword(s) :

Truncated Toeplitz operators
reducibility
model space
Functional Analysis (math.FA)
Complex Variables (math.CV)
FOS: Mathematics
47B35
47A15
47B38

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL