English

A Note on $\Gamma_n$-isometries

Functional Analysis 2013-01-15 v1

Abstract

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

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Cite

@article{arxiv.1301.2837,
  title  = {A Note on $\Gamma_n$-isometries},
  author = {Shibananda Biswas and Subrata Shyam Roy},
  journal= {arXiv preprint arXiv:1301.2837},
  year   = {2013}
}

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R2 v1 2026-06-21T23:08:36.534Z