Dense invariant sets of common cyclic vectors for Jordan operators

DOI10.1016/j.jmaa.2005.05.045zbMath1104.47011OpenAlexW1967592298MaRDI QIDQ2492958

Juan jun. Marín, Steven M. Seubert

Publication date: 9 June 2006

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.2005.05.045

zbMATH Keywords

invariant setscyclic vectorsJordan operatorsWolff-Denjoy series

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16) Series expansions of functions of one complex variable (30B99)

Related Items

Common cyclic vectors for classes of operators having common spanning root spaces

Cites Work

• Invariant subspaces of a normal operator
• Series of rational fractions with rapidly decreasing coefficients
• Cyclicity results for Jordan and compressed Toeplitz operators
• Spectral synthesis of Jordan operators
• On the possible rate of decrease of coefficients in the expansion of functions in series of rational fractions
• Invariant subspaces and unstarred operator algebras
• Representation of analytic functions by series of rational functions
• Representation of functions analytic in a closed domain by series of rational functions
• On Absolutely Convergent Exponential Sums
• REPRESENTATION OF FUNCTIONS IN THE UNIT DISK BY SERIES OF RATIONAL FRACTIONS
• Weak-star density of polynomials.
• Common cyclic vectors for normal operators
• On Invariant Subspaces of Normal Operators
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