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Erratum to “Compactness of composition operators on a Hilbert space of Dirichlet series” [J. Funct. Anal. 211 (2004) 271–287] by Catherine Finet; Hervé Queffélec; Alexander Volberg is a Mathematics article available to read on EtoBox.

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The publisher regrets that the incorrect abstract was inserted into the article at the proof checking stage. The correct abstract is given here. In this paper, we investigate the compactness properties of composition operators on the Hilbert space of Dirichlet series with square-summable coefficients. We mainly study the case where the characteristic of the symbol of the operator vanishes. Then, a kind of dimension of this symbol appears, and the results depend very much on that dimension, as in Polya's recurrence theorem on random walks. Those results should be compared with those of F. Bayart (Compact composition operators on a Hilbert space of Dirichlet series, Illinois. J. Math. 47(3) (2003) 725-743.) when the characteristic is non-zero.

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Author

Catherine Finet; Hervé Queffélec; Alexander Volberg

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-1236)

Published

2005

Language

EN

Field

Mathematics (Physical Sciences)