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arxiv: 1901.08695 · v1 · pith:U6POZ4JKnew · submitted 2019-01-24 · 🧮 math.DS

Self joinings of rigid rank one transformations arise as strong operator topology limits of convex combinations of powers

classification 🧮 math.DS
keywords operatortopologytransformationscombinationsconvexpowersstrongarise
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This is a straightforward generalization Section 2 of arXiv:1805.11167. It shows that for a residual set of transformations in the space of measure preserving transformations, with the weak topology, any self-joining defines a Markov operator that is a strong operator topology limit of convex combinations of powers of the unitary operator given by the transformation.

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