Cyclic vectors of diagonal operators on the space of functions analytic on a disk

DOI10.1016/j.jmaa.2007.01.035zbMath1131.47007OpenAlexW2073432909MaRDI QIDQ996906

Ian N. Deters, Steven M. Seubert

Publication date: 19 July 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.035

zbMATH Keywords

invariant subspaceentire functionscyclic vectorsgeneralized Dirichlet series

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Spaces of bounded analytic functions of one complex variable (30H05) Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

On transmutation operators of the generalized Bessel operator in spaces of analytic functions ⋮ Non-synthetic diagonal operators on the space of functions analytic on the unit disk ⋮ Spectral synthesis of diagonal operators and representing systems for the space of entire functions ⋮ An application of infinite sums and products relating to spectral synthesis ⋮ Constructing polynomials of minimal growth ⋮ Common cyclic vectors for diagonal operators on the space of entire functions ⋮ A moment condition and non-synthetic diagonalizable operators on the space of functions analytic on the unit disk ⋮ A connection between operator topologies, polynomial interpolation, and synthesis of diagonal operators

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