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Transition probability functions can always be used to generate Markov operators, correct? So is it correct to say that a Markov process is a collection of Markov operators? On the other hand, are there Markov operators NOT generated by transition probability functions?

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    $\begingroup$ Markov operators on what space? $\endgroup$ Dec 4, 2013 at 0:55
  • $\begingroup$ L-1 space of a Borel measure space. $\endgroup$
    – abc
    Dec 4, 2013 at 1:02

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