Ergodic Theory pp 121-151 | Cite as

Conditional Measures and Algebras

  • Manfred Einsiedler
  • Thomas Ward


In this chapter we provide some more background in measure theory, by constructing conditional measures and developing some of their properties. We also prove some of the key technical results used in ergodic theory, in particular showing how factors of measure-preserving transformations may be viewed as invariant sub-algebras.


Conditional Expectation Ergodic Theorem Borel Subset Conditional Measure Monotone Convergence Theorem 
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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Departement MathematikETH ZurichZurichSwitzerland
  2. 2.School of MathematicsUniversity of East AngliaNorwichUK

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