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arXiv · 1802.04569

The Ces\`aro operator on duals of power series spaces of infinite type

Angela A. Albanese·José Bonet·Werner J. Ricker
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Abstract

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.

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Angela A. Albanese, José Bonet, Werner J. Ricker. 2018-02-13. The Ces\`aro operator on duals of power series spaces of infinite type. https://arxiv.org/abs/1802.04569

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