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A mean ergodic theorem is proved for a compact operator on a Banach space without assuming mean-boundedness. Some related results are also presented.
Heydar Radjavi, Ping-Kwan Tam, and Kok-Keong Tan. "Mean ergodicity for compact operators." Studia Mathematica 158.3 (2003): 207-217. <http://eudml.org/doc/284766>.
@article{HeydarRadjavi2003, abstract = {A mean ergodic theorem is proved for a compact operator on a Banach space without assuming mean-boundedness. Some related results are also presented.}, author = {Heydar Radjavi, Ping-Kwan Tam, Kok-Keong Tan}, journal = {Studia Mathematica}, keywords = {compact operator; mean ergodicity; power boundedness; fixed point}, language = {eng}, number = {3}, pages = {207-217}, title = {Mean ergodicity for compact operators}, url = {http://eudml.org/doc/284766}, volume = {158}, year = {2003}, }
TY - JOUR AU - Heydar Radjavi AU - Ping-Kwan Tam AU - Kok-Keong Tan TI - Mean ergodicity for compact operators JO - Studia Mathematica PY - 2003 VL - 158 IS - 3 SP - 207 EP - 217 AB - A mean ergodic theorem is proved for a compact operator on a Banach space without assuming mean-boundedness. Some related results are also presented. LA - eng KW - compact operator; mean ergodicity; power boundedness; fixed point UR - http://eudml.org/doc/284766 ER -