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- W2806180772 abstract "The unitary equivalence of $2$-isometric operators satisfying the so-called kernel condition is characterized. It relies on a model for such operators built on operator valued unilateral weighted shifts and on a characterization of the unitary equivalence of operator valued unilateral weighted shifts in a fairly general context. A complete system of unitary invariants for $2$-isometric weighted shifts on rooted directed trees satisfying the kernel condition is provided. It is formulated purely in the langauge of graph-theory, namely in terms of certain generation branching degrees. The membership of the Cauchy dual operators of $2$-isometries in classes $C_{0 cdot}$ and $C_{cdot 0}$ is also studied." @default.
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- W2806180772 date "2018-06-08" @default.
- W2806180772 modified "2023-09-22" @default.
- W2806180772 title "Complete systems of unitary invariants for some classes of $2$-isometries" @default.
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