Symbols of truncated Toeplitz operators
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| Title: | Symbols of truncated Toeplitz operators |
|---|---|
| Authors: | Baranov, Anton1 anton.d.baranov@gmail.com, Bessonov, Roman2 bessonov@pdmi.ras.ru, Kapustin, Vladimir2 kapustin@pdmi.ras.ru |
| Source: | Journal of Functional Analysis. Dec2011, Vol. 261 Issue 12, p3437-3456. 20p. |
| Subjects: | Toeplitz operators, Mathematical models, Factorization, Shift operators (Operator theory), Analysis of covariance, Embedding theorems, Measure theory |
| Abstract: | Abstract: We consider three topics connected with coinvariant subspaces of the backward shift operator in Hardy spaces : [–] properties of truncated Toeplitz operators; [–] Carleson-type embedding theorems for the coinvariant subspaces; [–] factorizations of pseudocontinuable functions from . These problems turn out to be closely connected and even, in a sense, equivalent. The new approach based on the factorizations allows us to answer a number of challenging questions about truncated Toeplitz operators posed by D. Sarason. [Copyright &y& Elsevier] |
| Copyright of Journal of Functional Analysis is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 66217704 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Symbols of truncated Toeplitz operators – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Baranov%2C+Anton%22">Baranov, Anton</searchLink><relatesTo>1</relatesTo><i> anton.d.baranov@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Bessonov%2C+Roman%22">Bessonov, Roman</searchLink><relatesTo>2</relatesTo><i> bessonov@pdmi.ras.ru</i><br /><searchLink fieldCode="AR" term="%22Kapustin%2C+Vladimir%22">Kapustin, Vladimir</searchLink><relatesTo>2</relatesTo><i> kapustin@pdmi.ras.ru</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Functional+Analysis%22">Journal of Functional Analysis</searchLink>. Dec2011, Vol. 261 Issue 12, p3437-3456. 20p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Toeplitz+operators%22">Toeplitz operators</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Factorization%22">Factorization</searchLink><br /><searchLink fieldCode="DE" term="%22Shift+operators+%28Operator+theory%29%22">Shift operators (Operator theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Analysis+of+covariance%22">Analysis of covariance</searchLink><br /><searchLink fieldCode="DE" term="%22Embedding+theorems%22">Embedding theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Measure+theory%22">Measure theory</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: We consider three topics connected with coinvariant subspaces of the backward shift operator in Hardy spaces : [–] properties of truncated Toeplitz operators; [–] Carleson-type embedding theorems for the coinvariant subspaces; [–] factorizations of pseudocontinuable functions from . These problems turn out to be closely connected and even, in a sense, equivalent. The new approach based on the factorizations allows us to answer a number of challenging questions about truncated Toeplitz operators posed by D. Sarason. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Functional Analysis is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.jfa.2011.08.005 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 20 StartPage: 3437 Subjects: – SubjectFull: Toeplitz operators Type: general – SubjectFull: Mathematical models Type: general – SubjectFull: Factorization Type: general – SubjectFull: Shift operators (Operator theory) Type: general – SubjectFull: Analysis of covariance Type: general – SubjectFull: Embedding theorems Type: general – SubjectFull: Measure theory Type: general Titles: – TitleFull: Symbols of truncated Toeplitz operators Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Baranov, Anton – PersonEntity: Name: NameFull: Bessonov, Roman – PersonEntity: Name: NameFull: Kapustin, Vladimir IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 12 Text: Dec2011 Type: published Y: 2011 Identifiers: – Type: issn-print Value: 00221236 Numbering: – Type: volume Value: 261 – Type: issue Value: 12 Titles: – TitleFull: Journal of Functional Analysis Type: main |
| ResultId | 1 |
