Composition operators on Hilbert spaces of entire functions
In this Note, we introduce Hilbert spaces of entire functions in the complex plane . We study composition operators on these spaces and obtain, in particular, criteria for the boundedness and compactness of such operators. Our results contain the corresponding results of Chacón et al. (2007) [1] as...
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sg-ntu-dr.10356-813272023-02-28T19:30:33Z Composition operators on Hilbert spaces of entire functions Doan, Minh Luan Khoi, Le Hai School of Physical and Mathematical Sciences Compact difference Hilbert spaces Composition operators Boundedness Compactness Essential norm In this Note, we introduce Hilbert spaces of entire functions in the complex plane . We study composition operators on these spaces and obtain, in particular, criteria for the boundedness and compactness of such operators. Our results contain the corresponding results of Chacón et al. (2007) [1] as particular cases. Accepted version 2015-12-29T04:03:03Z 2019-12-06T14:28:31Z 2015-12-29T04:03:03Z 2019-12-06T14:28:31Z 2015 Journal Article Doan, M. L., & Khoi, L. H. (2015). Composition operators on Hilbert spaces of entire functions. Comptes Rendus Mathematique, 353(6), 495-499. 1631-073X https://hdl.handle.net/10356/81327 http://hdl.handle.net/10220/39229 10.1016/j.crma.2015.03.007 en Comptes Rendus Mathematique © 2015 Académie des sciences. This is the author created version of a work that has been peer reviewed and accepted for publication in Comptes Rendus Mathematique, published by Elsevier on behalf of Académie des sciences. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1016/j.crma.2015.03.007]. 13 p. application/pdf |
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Compact difference Hilbert spaces Composition operators Boundedness Compactness Essential norm |
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Compact difference Hilbert spaces Composition operators Boundedness Compactness Essential norm Doan, Minh Luan Khoi, Le Hai Composition operators on Hilbert spaces of entire functions |
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In this Note, we introduce Hilbert spaces of entire functions in the complex plane . We study composition operators on these spaces and obtain, in particular, criteria for the boundedness and compactness of such operators. Our results contain the corresponding results of Chacón et al. (2007) [1] as particular cases. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Doan, Minh Luan Khoi, Le Hai |
| format |
Article |
| author |
Doan, Minh Luan Khoi, Le Hai |
| author_sort |
Doan, Minh Luan |
| title |
Composition operators on Hilbert spaces of entire functions |
| title_short |
Composition operators on Hilbert spaces of entire functions |
| title_full |
Composition operators on Hilbert spaces of entire functions |
| title_fullStr |
Composition operators on Hilbert spaces of entire functions |
| title_full_unstemmed |
Composition operators on Hilbert spaces of entire functions |
| title_sort |
composition operators on hilbert spaces of entire functions |
| publishDate |
2015 |
| url |
https://hdl.handle.net/10356/81327 http://hdl.handle.net/10220/39229 |
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1759853514634297344 |