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math.FA2024
Similar operator topologies on the space of positive contractions
Valentin Gillet
In this article, we study the similarity of the Polish operator topologies , , $\texttt{SOT}\mbox{$_{*}$}$ and $\texttt{SOT}\mbox{$^{*}$}$ on the set of…
math.FA2024
Typical properties of positive contractions and the invariant subspace problem
Valentin Gillet
In this paper, we first study some elementary properties of a typical positive contraction on for the Strong Operator Topology and the Strong* Operator Topology. Using the…