Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/150284
Title: Complex symmetry of composition operators on Hilbert spaces of entire Dirichlet series
Authors: Doan, Minh Luan
Mau, Camille
Khoi, Le Hai
Keywords: Science::Mathematics
Issue Date: 2019
Source: Doan, M. L., Mau, C. & Khoi, L. H. (2019). Complex symmetry of composition operators on Hilbert spaces of entire Dirichlet series. Vietnam Journal of Mathematics, 47(2), 443-460. https://dx.doi.org/10.1007/s10013-018-00330-6
Project: M4011724.110 (RG128/16)
Journal: Vietnam Journal of Mathematics
Abstract: A criterion for boundedness of composition operators acting on a class of Hilbert spaces of entire Dirichlet series, namely the class ℋ(E, β ) , was obtained in Hou et al. (J. Math. Anal. Appl. 401: 416–429, 2013) for those spaces that do not contain non-zero constant functions, while other possibilities were not studied. In this paper, we first provide a complete characterization of boundedness of composition operators on any space ℋ(E, β ) , which may or may not contain constant functions. We then study complex symmetry of composition operators on ℋ(E, β ) , via analysis of composition conjugations.
URI: https://hdl.handle.net/10356/150284
ISSN: 2305-221X
DOI: 10.1007/s10013-018-00330-6
Rights: © 2019, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. All rights reserved. This paper was published by Springer in Vietnam Journal of Mathematics and is made available with permission of Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

Files in This Item:
File Description SizeFormat 
Complex Symmetry of Composition Operators on Hilbert Spaces of Entire Dirichlet Series.pdf331.6 kBAdobe PDFView/Open

Page view(s)

125
Updated on Jul 3, 2022

Download(s)

17
Updated on Jul 3, 2022

Google ScholarTM

Check

Altmetric


Plumx

Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.