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STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, vol.55, no.4, pp.479-486, 2018 (SCI-Expanded)
In this paper, we proved theorems which give the conditions that special operator nets on a predual of von Neumann algebras are strongly convergent under the Markov case. Moreover, we investigate asymptotic stability and existence of a lower-bound function for such nets.