Numerical range of composition operators on a Hilbert space of Dirichlet series

Catherine Finet,Hervé Queffélec

doi:10.1016/j.laa.2003.05.003

Numerical range of composition operators on a Hilbert space of Dirichlet series

Catherine Finet, Hervé Queffélec

Open Access

https://doi.org/10.1016/j.laa.2003.05.003

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Journal: Linear Algebra and Its Applications	Publication Date: Oct 14, 2003
Citations: 6	License type: publisher-specific-oa

Affiliation: University of Mons, University of Lille

#Hilbert Space Of Dirichlet Series #Isometric Ones + Show 6 more

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Abstract

We study the numerical range of composition operators on a Hilbert space of Dirichlet series with square-summable coefficients. We first describe the numerical range of “nice” composition operators (as invertible, normal and isometric ones). We also focus on the zero-inclusion question for more general symbols.

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