Speaker：Maofa Wang（Wuhan University）

Time：2022-01-05,  14:30

Location：Tencent Meeting ID：321432279 (no pwd）

Abstract:

The aim of this talk is to characterize when linear combinations of composition operators are compact on the Hilbert space of Dirichlet series with square summable coefficients. Especially, we discuss the topological structure of the set of composition operators acting on the Hilbert space of Dirichlet series.  It reveals that there exists a continuous arc in the set of all bounded composition operators on the space containing non-compact ones. Moreover, it is shown that the linear combinations of composition operators induced by finitely many distinct linear symbols are compact only when each one of them is compact. This is a joint work with Frederic Bayart and Xingxing Yao.