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- Centre National de la Recherche ScientifiqueFR398 papers
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5 papers · 2 filters
Counting functions for Dirichlet series and compactness of composition operators
Frédéric Bayart
We give a sufficient condition for a composition operator with positive characteristic to be compact on the Hardy space of Dirichlet series.
Towards a Classification of Multi-Faced Independence: A Representation-Theoretic Approach
Malte Gerhold, Takahiro Hasebe, Michael Ulrich
We attack the classification problem of multi-faced independences, the first non-trivial example being Voiculescu's bi-freeness. While the present paper does not achieve a complete…
Topological structure of the space of composition operators on the Hardy space of Dirichlet series
Frédéric Bayart, Maofa Wang, Xingxing Yao
The aim of this paper is to study when two composition operators on the Hilbert space of Dirichlet series with square summable coefficients belong to the same component or when the…
Convergence and almost sure properties in Hardy spaces of Dirichlet series
Frédéric Bayart
Given a frequency , we study general Dirichlet series . First, we give a new condition on which ensures that a somewhere convergent Dirichlet series def…
Two problems on weighted shifts in linear dynamics
Frédéric Bayart
We show that an invertible bilateral weighted shift is strongly structurally stable if and only if it has the shadowing property. We also exhibit a K{ö}the sequence space supportin…