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/