Some locally mean ergodic theorems
Volume 152 / 2002
Studia Mathematica 152 (2002), 1-9
MSC: Primary 47A35, 47B20.
DOI: 10.4064/sm152-1-1
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.
