On composition operators on the Wiener algebra of Dirichlet series

被引：0
|
作者：
Li, Daniel [1 ]
Queffelec, Herve [2 ]
Rodriguez-Piazza, Luis [3 ,4 ]
机构：
[1] Univ Artois, UR 2462, Lab Math Lens LML, F-62300 Lens, France
[2] Univ Lille Nord France, USTL, Lab Paul Painleve UMR CNRS 8524, F-59655 Villeneuve Dascq, France
[3] Univ Seville, Fac Matemat, Dept Anal Matemat, Calle Tarfia S-N, Seville 41012, Spain
[4] IMUS, Calle Tarfia S-N, Seville 41012, Spain
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2023年 / 188卷
关键词：
Absolutely summing operator; Compact operator; Composition operator; Dirichlet series; Wiener algebra of Dirichlet series; SPACE;
D O I：
10.1016/j.bulsci.2023.103318
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the symbol of a bounded composition operator on the Wiener algebra of Dirichlet series does not need to belong to this algebra. Our example even gives an absolutely summing (hence compact) composition operator.& COPY; 2023 Elsevier Masson SAS. All rights reserved.
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页数：7
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