Composition operators on Hilbert spaces of entire Dirichlet series
In this Note, we introduce Hilbert spaces of entire Dirichlet series (with real frequencies) and consider composition operators on these spaces. We establish necessary and sufficient conditions for such series to have Ritt order zero, as well as a finite logarithmic order. Criteria for action, bo...
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sg-ntu-dr.10356-968922020-03-07T12:37:14Z Composition operators on Hilbert spaces of entire Dirichlet series Hou, Xiaolu. Hu, Bingyang. Khoi, Le Hai. School of Physical and Mathematical Sciences In this Note, we introduce Hilbert spaces of entire Dirichlet series (with real frequencies) and consider composition operators on these spaces. We establish necessary and sufficient conditions for such series to have Ritt order zero, as well as a finite logarithmic order. Criteria for action, boundedness, compactness and compact difference of such operators are obtained. 2013-08-12T08:24:50Z 2019-12-06T19:36:23Z 2013-08-12T08:24:50Z 2019-12-06T19:36:23Z 2012 2012 Journal Article Hou, X., Hu, B.,& Khoi, L. H. (2012). Composition operators on Hilbert spaces of entire Dirichlet series. Comptes Rendus Mathematique, 350(19-20), 875-878. 1631-073X https://hdl.handle.net/10356/96892 http://hdl.handle.net/10220/13077 10.1016/j.crma.2012.10.012 en Comptes rendus mathematique |
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| description |
In this Note, we introduce Hilbert spaces of entire Dirichlet series (with real frequencies)
and consider composition operators on these spaces. We establish necessary and sufficient
conditions for such series to have Ritt order zero, as well as a finite logarithmic order.
Criteria for action, boundedness, compactness and compact difference of such operators
are obtained. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Hou, Xiaolu. Hu, Bingyang. Khoi, Le Hai. |
| format |
Article |
| author |
Hou, Xiaolu. Hu, Bingyang. Khoi, Le Hai. |
| spellingShingle |
Hou, Xiaolu. Hu, Bingyang. Khoi, Le Hai. Composition operators on Hilbert spaces of entire Dirichlet series |
| author_sort |
Hou, Xiaolu. |
| title |
Composition operators on Hilbert spaces of entire Dirichlet series |
| title_short |
Composition operators on Hilbert spaces of entire Dirichlet series |
| title_full |
Composition operators on Hilbert spaces of entire Dirichlet series |
| title_fullStr |
Composition operators on Hilbert spaces of entire Dirichlet series |
| title_full_unstemmed |
Composition operators on Hilbert spaces of entire Dirichlet series |
| title_sort |
composition operators on hilbert spaces of entire dirichlet series |
| publishDate |
2013 |
| url |
https://hdl.handle.net/10356/96892 http://hdl.handle.net/10220/13077 |
| _version_ |
1681036460970475520 |