Summary
If P is a conservative Markov operator on L 1(m) with no unimodular spectral points except 1, then ∥u(I−P)Pn∥1→0 for every u∈L 1.
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Lin, M., Sine, R. A spectral condition for strong convergence of Markov operators. Z. Wahrscheinlichkeitstheorie verw Gebiete 47, 27–29 (1979). https://doi.org/10.1007/BF00533248
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DOI: https://doi.org/10.1007/BF00533248