Common cyclic vectors for diagonal operators on the space of entire functions

DOI10.1216/RMJ-2014-44-1-269zbMath1295.30062MaRDI QIDQ2453644

Steven M. Seubert

Publication date: 10 June 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1401740503

zbMATH Keywords

entire functionsdiagonal operatorscyclic vectors

Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Common cyclic vectors for the commutant of weighted differentiation

Cites Work

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• Invariant subspaces of a normal operator
• Cyclic vectors of diagonal operators on the space of functions analytic on a disk
• Cyclic operators on shift coinvariant subspaces
• Spectral synthesis of diagonal operators and representing systems for the space of entire functions
• Cyclic vectors of diagonal operators on the space of entire functions
• Invariant subspaces and unstarred operator algebras
• Representation of functions analytic in a closed domain by series of rational functions
• On Absolutely Convergent Exponential Sums
• The present state of the spectral analysis-synthesis problem. I
• INTERPOLATION PROBLEMS, NONTRIVIAL EXPANSIONS OF ZERO, AND REPRESENTING SYSTEMS
• Representing systems
• REPRESENTING SYSTEMS
• Weak-star density of polynomials.
• Common cyclic vectors for normal operators
• On Invariant Subspaces of Normal Operators
• Analytic continuation of Dirichlet series