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- W2740968699 abstract "A tuple of commuting operators $(S_1,dots,S_{n-1},P)$ for which the closed symmetrized polydisc $Gamma_n$ is a spectral set is called a $Gamma_n$-contraction. We show that every $Gamma_n$-contraction admits a decomposition into a $Gamma_n$-unitary and a completely non-unitary $Gamma_n$-contraction. This decomposition is an analogue to the canonical decomposition of a contraction into a unitary and a completely non-unitary contraction. We also find new characterizations for the set $Gamma_n$ and $Gamma_n$-contractions." @default.
- W2740968699 created "2017-08-08" @default.
- W2740968699 creator A5064136277 @default.
- W2740968699 date "2017-08-02" @default.
- W2740968699 modified "2023-09-27" @default.
- W2740968699 title "Canonical decomposition of operators associated with the symmetrized polydisc" @default.
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