Spectra of linear fractional composition operators on $H^2(B_N)$

preprint2010arXivOpen access

We characterize the spectra of composition operators on the Hardy space $H^2(B_N)$ , when the symbols are elliptic or hyperbolic linear fractional self-maps of $B_N$ . Therefore, combining with the result obtained by Bayart \cite{B10}, the spectra of all linear fractional composition operators on $H^2(B_N)$ are completely determined.

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Spectra of linear fractional composition operators on $H^2(B_N)$

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Spectra of linear fractional composition operators on H2(BN)H^2(B_N)H2(BN​)

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Spectra of linear fractional composition operators on $H^2(B_N)$