Endomorphisms of a Lebesgue space III

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1975 English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 21, pages 167-172 (issn: 0021-2172, eissn: 1565-8511,

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Authors: Parry, William;

doi: 10.1007/bf02760795

Endomorphisms of a Lebesgue space III

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Abstract

A new invariant is introduced for regular isomorphisms, which are isomorphisms by codes that anticipate a finite amount of the future. With the help of this invariant it is shown that the Bernoulli automorphism (p, q) is not regularly isomorphic to the Markov automorphism ( ),p ≠q, and that neither of these is regularly isomorphic to the Markov automorphism ( ).

Related Organizations

University of Warwick
United Kingdom

Keywords

Measure-preserving transformations

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