Reducing subspaces of C 00 contractions
Document type :
Compte-rendu et recension critique d'ouvrage
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]
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
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 >
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
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