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.

引用

页数：7

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