Angela A. Albanese, José Bonet, Werner \, J. Ricker
Published 2018-02-13Version 1
A detailed investigation is made of the continuity, spectrum and mean ergodic properties of the Ces\`aro operator $C$ when acting on the strong duals of power series spaces of infinite type. There is a dramatic difference in the nature of the spectrum of $C$ depending on whether or not the strong dual space (which is always Schwartz) is nuclear.
The Cesàro operator on power series spaces
The Cesàro operator in weighted $\ell_1$ spaces
The Cesàro operator on duals of smooth sequence spaces of infinite type
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