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Ergodic theorem for the algebra of operators in 𝕃p

Published online by Cambridge University Press:  01 February 2009

RYSZARD JAJTE  and
ADAM PASZKIEWICZ
RYSZARD JAJTE
Affiliation:
Faculty of Mathematics, University of Łódź, Banacha 22, PL-90-238 Łódź, Poland (email: rjajte@math.uni.lodz.pl, adampasz@math.uni.lodz.pl)
ADAM PASZKIEWICZ
Affiliation:
Faculty of Mathematics, University of Łódź, Banacha 22, PL-90-238 Łódź, Poland (email: rjajte@math.uni.lodz.pl, adampasz@math.uni.lodz.pl)
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 29 , Issue 1 , February 2009 , pp. 111 - 116
Copyright
Copyright © 2008 Cambridge University Press

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References

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