Dirichlet级数的Hilbert空间上具有线性符号的复合算子的线性组合

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Operator Theory Pub Date : 2021-06-15 DOI:10.7900/jot.2020mar23.2288

F. Bayart, Maofa Wang, Xingxing Yao

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引用次数: 2

摘要

在系数为平方可和的Dirichlet级数的Hilbert空间上，我们证明了由线性符号诱导的两个复合算子的线性组合只有当它们中的每一个都是紧的时才是紧的。此外，这种刚性行为部分适用于一些更一般的符号。

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Linear combinations of composition operators with linear symbols on a Hilbert space of Dirichlet series

On the Hilbert space of Dirichlet series with square summable coefficients, we show that the linear combinations of two composition operators induced by linear symbols are compact only when each one of them is compact. Moreover, such rigid behavior holds partially for some more general symbols.

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.