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Spectrum of the Cesàro Operator on the Ultradifferentiable Function Spaces \({\mathcal E}_\omega ({\mathbb {R}}_+)\)

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Abstract

The aim of this paper is to investigate the continuity, spectrum and point spectrum, and the dynamical behaviour of the Cesàro averaging operator \(\mathsf {C}\) on the ultradifferentiable function spaces \({\mathcal E}_\omega ({\mathbb {R}}_+)\).

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Acknowledgements

The author would like to thank the Referee for providing many valuable comments and a simpler proof for Theorem 3.2.

Funding

This research is partially funded by GNAMPA.

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Authors and Affiliations

  1. Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento- C.P.193, 73100, Lecce, Italy

    Angela A. Albanese

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  1. Angela A. Albanese
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Correspondence to Angela A. Albanese.

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Communicated by Raymond Mortini.

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Albanese, A.A. Spectrum of the Cesàro Operator on the Ultradifferentiable Function Spaces \({\mathcal E}_\omega ({\mathbb {R}}_+)\). Complex Anal. Oper. Theory 15, 20 (2021). https://doi.org/10.1007/s11785-020-01072-5

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  • DOI: https://doi.org/10.1007/s11785-020-01072-5

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