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The notion of local mean ergodicity is introduced. Some general locally mean ergodic theorems for linear and affine operators are presented. Locally mean ergodic theorems for affine operators whose linear parts are compact or similar to subnormal operators on a Hilbert space are given.
Ping Kwan Tam, and Kok-Keong Tan. "Some locally mean ergodic theorems." Studia Mathematica 152.1 (2002): 1-9. <http://eudml.org/doc/284689>.
@article{PingKwanTam2002, abstract = {The notion of local mean ergodicity is introduced. Some general locally mean ergodic theorems for linear and affine operators are presented. Locally mean ergodic theorems for affine operators whose linear parts are compact or similar to subnormal operators on a Hilbert space are given.}, author = {Ping Kwan Tam, Kok-Keong Tan}, journal = {Studia Mathematica}, keywords = {subnormal operator; normal operator; boundedness stability property; similar; compact operator; spectrum; mean ergodic theorem; fixed point; affine operators}, language = {eng}, number = {1}, pages = {1-9}, title = {Some locally mean ergodic theorems}, url = {http://eudml.org/doc/284689}, volume = {152}, year = {2002}, }
TY - JOUR AU - Ping Kwan Tam AU - Kok-Keong Tan TI - Some locally mean ergodic theorems JO - Studia Mathematica PY - 2002 VL - 152 IS - 1 SP - 1 EP - 9 AB - The notion of local mean ergodicity is introduced. Some general locally mean ergodic theorems for linear and affine operators are presented. Locally mean ergodic theorems for affine operators whose linear parts are compact or similar to subnormal operators on a Hilbert space are given. LA - eng KW - subnormal operator; normal operator; boundedness stability property; similar; compact operator; spectrum; mean ergodic theorem; fixed point; affine operators UR - http://eudml.org/doc/284689 ER -