Easy and nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theorem
We give a short proof of a strengthening of the Maximal Ergodic Theorem which also immediately yields the Pointwise Ergodic Theorem.
Permanent link to this document: http://projecteuclid.org/euclid.lnms/1196285825
Mathematical Reviews (MathSciNet): MR2306205
Digital Object Identifier: doi:10.1214/074921706000000266