Unconditional Integrability with Application to Ergodic Theorem
Mangatiana A. Robdera, Dintle N. Kagiso
Asian Research Journal of Mathematics · pp. 1–12 · Published 7 Aug 2017
10.9734/ARJOM/2017/35466Abstract
We present a straightforward introduction to the unconditional integrability in the extended sense. We state and proof useful necessary and sufficient conditions for unconditional integrability of complex or real valued functions. As an application, we obtain a simpler direct proof of mildly extended version of the Birkhoff’s pointwise ergodic theorem.
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