Abstract
In this paper, we study invariant subspaces of composition operators on the Hilbert space of Dirichlet series with square summable coefficients. The structure of invariant subspaces of a composition operator is characterized, and the strongly closed algebras generated by some composition operators with irrational symbols are shown to be reflexive. As an application, we provide a criterion for composition operators with certain symbols not to be algebraic.
Citation
Maofa Wang. Xingxing Yao. "Invariant subspaces of composition operators on a Hilbert space of Dirichlet series." Ann. Funct. Anal. 6 (4) 179 - 190, 2015. https://doi.org/10.15352/afa/06-4-179
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