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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

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A measure-preserving isomorphism α of a probability space (Ω,ℱ,μ) generates an algebraic automorphism $\tilde \alpha $ of the algebra of bounded linear operators in 𝕃p(Ω,ℱ,μ). An ergodic theorem for $\tilde \alpha $ is proved.

Information

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

References

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