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arxiv: 1301.2837 · v1 · pith:GXWGHHCXnew · submitted 2013-01-14 · 🧮 math.FA

A Note on Gamma_n-isometries

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keywords gammaisometriescitenotealongbeurling-lax-halmosboundarycase
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In this note we characterize the distinguished boundary of the symmetrized polydisc and thereby develop a model theory for $\Gamma_n$-isometries along the lines of \cite{AY}. We further prove that for invariant subspaces of $\Gamma_n$-isometries, similar to the case $n=2$ \cite{S}, Beurling-Lax-Halmos type representation holds.

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