Various properties of the (continuous) Cesàro operator C, acting on Banach and Fréchet spaces of continuous functions and $L_p$-spaces, are investigated. For instance, the spectrum and point spectrum of C are completely determined and a study of certain dynamics of C is undertaken (eg. hyper- and supercyclicity, chaotic behaviour). In addition, the mean (and uniform mean) ergodic nature of C acting in the various spaces is identified.
On the continuous Cesàro operator in certain function spaces
ALBANESE, Angela Anna;
2015-01-01
Abstract
Various properties of the (continuous) Cesàro operator C, acting on Banach and Fréchet spaces of continuous functions and $L_p$-spaces, are investigated. For instance, the spectrum and point spectrum of C are completely determined and a study of certain dynamics of C is undertaken (eg. hyper- and supercyclicity, chaotic behaviour). In addition, the mean (and uniform mean) ergodic nature of C acting in the various spaces is identified.File in questo prodotto:
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