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

Abstract

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