On the Model and Invariant Subspaces for Pairs of Commuting Isometries
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DOI: 10.1007/s00020-019-2516-4
Abstract: The paper is devoted to a model and joint invariant subspaces under a pair of commuting isometries. A certain class of pairs of commuting isometries is defined. We give a model for such pairs and… read more here.
Keywords: commuting isometries; joint invariant; pair; model ... See more keywords
The structure of doubly non-commuting isometries
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DOI: 10.1016/j.aim.2020.107149
Abstract: Suppose that $n\geq 1$ and that, for all $i$ and $j$ with $1\leq i,j\leq n$ and $i\neq j$, $z_{ij}\in{\mathbb T}$ are given such that $z_{ji}=\overline{z}_{ij}$ for all $i\neq j$. If $V_1,\dotsc, V_n$ are isometries on… read more here.
Keywords: commuting isometries; non commuting; doubly non; dotsc ... See more keywords