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On residualities in the set of Markov operators on  |
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| Authors: | Wojciech Bartoszek Beata Kuna |
| Affiliation: | Department of Mathematics, Gdansk University of Technology, ul. Narutowicza 11/12, 80 952 Gdansk, Poland Beata Kuna ; Department of Mathematics, Gdansk University of Technology, ul. Narutowicza 11/12, 80 952 Gdansk, Poland |
| Abstract: | We show that the set of those Markov operators on the Schatten class  such that  , where  is one-dimensional projection, is norm open and dense. If we require that the limit projections must be on strictly positive states, then such operators  form a norm dense  . Surprisingly, for the strong operator topology operators the situation is quite the opposite. |
| Keywords: | Schatten classes Markov operator mixing operator residuality |
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