Mean ergodic theorem and multiplicative cocycles
Bull. Korean Math. Soc. 1996 Vol. 33, No. 1, 57-64
Geon H. Choe
Korea Advanced Institute of Science and Technology
Abstract : We show that a multiplicative cocycle giving a continuous unitary representation of a countably dense subgroup of a compact abelian group is a multiplicative coboundary.
Keywords : Mean ergodic theorem, cocycle.
MSC numbers : 22D10, 28C10, 47A35
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