A detailed investigation is made of the continuity, the compactness and the spectrum of the Cesàro operator C acting on the weighted Banach sequence space $c_0(w)$ for a bounded, strictly positive weight $w$. New features arise in the weighted setting (e.g. existence of eigenvalues, compactness, mean ergodicity) which are not present in the classical setting of $c_0$.
Titolo: | Mean ergodicity and spectrum of the Cesàro operator on weighted $c_0$ spaces |
Autori: | |
Data di pubblicazione: | 2016 |
Rivista: | |
Abstract: | A detailed investigation is made of the continuity, the compactness and the spectrum of the Cesàro operator C acting on the weighted Banach sequence space $c_0(w)$ for a bounded, strictly positive weight $w$. New features arise in the weighted setting (e.g. existence of eigenvalues, compactness, mean ergodicity) which are not present in the classical setting of $c_0$. |
Handle: | http://hdl.handle.net/11587/408286 |
Appare nelle tipologie: | Articolo pubblicato su Rivista |
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.