Abstract
Given a positive contraction,P, onC(X) we define the conservative and dissipative parts ofP and establish divergence of ΣP nf(x) on the conservative part ofX.
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Foguel, S.R. Ergodic decomposition of a topological space. Israel J. Math. 7, 164–167 (1969). https://doi.org/10.1007/BF02771663
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DOI: https://doi.org/10.1007/BF02771663