Abstract
We study the compactness of composition operators on the Hilbert space of Dirichlet series with square summable coefficients. In particular, we give some necessary and sufficient conditions for compactness. We also describe the spectrum of such operators, and we extend our work to some weighted spaces.
Citation
Frédéric Bayart. "Compact composition operators on a Hilbert space of Dirichlet series." Illinois J. Math. 47 (3) 725 - 743, Fall 2003. https://doi.org/10.1215/ijm/1258138190
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