Multicyclicity of unbounded normal operators and polynomial approximation in \(\mathbb{C}\)

DOI10.1016/J.JFA.2009.06.028zbMath1175.47021OpenAlexW2036639712MaRDI QIDQ841493

B. Nagy

Publication date: 17 September 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.06.028

zbMATH Keywords

multiplicitycyclic vectorequivalent measuresmulticyclicitypolynomial approximation in \(L^{2}(\mathbb{C}, m)\)star-cyclic vectorunbounded normal operator

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear symmetric and selfadjoint operators (unbounded) (47B25) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

• On multicyclic operators
• On the completeness of the system \(\{z^{\tau_n}\}\) in \(L^{2}\)
• Subnormal operators
• On the completeness of systems of analytic functions
• Approximation in the mean by polynomials
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