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Ergodic theorem for the algebra of operators in 𝕃p
Published online by Cambridge University Press: 01 February 2009
Abstract
A measure-preserving isomorphism α of a probability space (Ω,ℱ,μ) generates an algebraic automorphism of the algebra of bounded linear operators in 𝕃p(Ω,ℱ,μ). An ergodic theorem for is proved.
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