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

Liangying Jiang; Zhihua Chen

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

Complex Variables 2010-11-30 v1

Authors: Liangying Jiang , Zhihua Chen

Abstract

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.

Keywords

composition operators Hardy space linear fractional maps spectrum elliptic hyperbolic

Cite

@article{arxiv.1011.6020,
  title  = {Spectra of linear fractional composition operators on $H^2(B_N)$},
  author = {Liangying Jiang and Zhihua Chen},
  journal= {arXiv preprint arXiv:1011.6020},
  year   = {2010}
}

Comments

22 pages

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