Abstract
Dominated and Pointwise Ergodic Theorems for bounded representations of second countable locally compact amenable groups by Lamperti operators in L p ( Ω , F , m ) , L^p(\Omega ,\mathcal F, m), p > 1 p>1 fixed, are proved; we restrict ourselves to Cesàro averages in this paper. These theorems generalize or are closely related to well-known theorems for powers of power bounded Lamperti operators.
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