Passing from Cesàro means to Borel-type methods of summability we prove some ergodic theorem for operators (acting in a Banach space) with spectrum contained in ℂ∖(1,∞).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap78-2-7, author = {Ryszard Jajte}, title = {Borel methods of summability and ergodic theorems}, journal = {Annales Polonici Mathematici}, volume = {79}, year = {2002}, pages = {175-180}, zbl = {1014.47004}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap78-2-7} }
Ryszard Jajte. Borel methods of summability and ergodic theorems. Annales Polonici Mathematici, Tome 79 (2002) pp. 175-180. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap78-2-7/