The Ces\`aro operator on duals of power series spaces of infinite type
Functional Analysis
2019-08-13 v1
Abstract
A detailed investigation is made of the continuity, spectrum and mean ergodic properties of the Ces\`aro operator 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 depending on whether or not the strong dual space (which is always Schwartz) is nuclear.
Cite
@article{arxiv.1802.04569,
title = {The Ces\`aro operator on duals of power series spaces of infinite type},
author = {Angela A. Albanese and José Bonet and Werner J. Ricker},
journal= {arXiv preprint arXiv:1802.04569},
year = {2019}
}