A mean ergodic theorem is proved for a compact operator on a Banach space without assuming mean-boundedness. Some related results are also presented.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-3-2,
author = {Heydar Radjavi and Ping-Kwan Tam and Kok-Keong Tan},
title = {Mean ergodicity for compact operators},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {207-217},
zbl = {1064.47017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-3-2}
}
Heydar Radjavi; Ping-Kwan Tam; Kok-Keong Tan. Mean ergodicity for compact operators. Studia Mathematica, Tome 157 (2003) pp. 207-217. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-3-2/