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|Title:||Composition operators on Hilbert spaces of entire Dirichlet series||Authors:||Hou, Xiaolu.
Khoi, Le Hai.
|Issue Date:||2012||Source:||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.||Series/Report no.:||Comptes rendus mathematique||Abstract:||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.||URI:||https://hdl.handle.net/10356/96892
|ISSN:||1631-073X||DOI:||10.1016/j.crma.2012.10.012||Fulltext Permission:||none||Fulltext Availability:||No Fulltext|
|Appears in Collections:||SPMS Journal Articles|
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