On the shift semigroup on the Hardy space of Dirichlet series

DOI10.1007/s10474-010-9189-4zbMath1230.47072OpenAlexW1996648001MaRDI QIDQ625981

Anders Olofsson

Publication date: 25 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-9189-4

zbMATH Keywords

invariant subspaceWold decompositionshift semigroupHardy space of Dirichlet series

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Invariant subspaces of linear operators (47A15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Dirichlet series, exponential series and other series in one complex variable (30B50) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (8)

In a shadow of the RH: cyclic vectors of Hardy spaces on the Hilbert multidisc ⋮ Power dilation systems {𝑓(𝑧^{𝑘})}_{𝑘∈ℕ} in Dirichlet-type spaces ⋮ Dilation theory and analytic model theory for doubly commuting sequences of \(C_{\cdot 0}\)-contractions ⋮ Introducing the polylogarithmic Hardy space ⋮ Local properties of Hilbert spaces of Dirichlet series ⋮ Splitting the Riesz basis condition for systems of dilated functions through Dirichlet series ⋮ Toeplitzness of composition operators on a Hilbert space of Dirichlet series ⋮ The periodic dilation completeness problem: cyclic vectors in the Hardy space over the infinite‐dimensional polydisk

Cites Work

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