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A Note on Invariant Observables

  • Katarína Lendelová
Article

Abstract

The ergodic theory and particularly the individual ergodic theorem were studied in many structures. Recently the individual ergodic theorem has been proved for MV-algebras of fuzzy sets (Riečan, 2000; Riečan and Neubrunn, 1997) and even in general MV-algebras (Jurečková, 2000). The notion of almost everywhere equality of observables was introduced by B. Riečan and M. Jurečková in Riečan and Jurečková (2005). They proved that the limit of Cesaro means is an invariant observable for P-observables. In this paper show that the assumption of P-observable can be omitted.

Keywords

the invariant observable the Cesaro means the individual ergodic theory the almost everywhere equality 

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Faculty of Natural Sciences, Department of MathematicsMatej Bel UniversityBanská BystricaSlovakia

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