Some applications of interpolating sequences for Banach spaces of analytic functions

Hamzeh Keshavarzi

Some applications of interpolating sequences for Banach spaces of analytic functions

Functional Analysis 2020-12-15 v2 Complex Variables

Authors: Hamzeh Keshavarzi

Abstract

M. J. Beltr\'{a}n-Meneua et al. \cite{beltran1} and E. Jord\'{a} and A. Rodr\'{i}guez-Arenas \cite{jorda} characterized the (uniformly) mean ergodic composition operators on $H^\infty(\mathbb{D})$ and $H^\infty_\nu (\mathbb{D})$ , respectively. In this paper, by using the interpolating sequences, we give other necessary and sufficient conditions for the (uniformly) mean ergodicity of composition operators on these spaces.

Keywords

interpolating sequences banach spaces analytic functions composition operators mean ergodicity necessary and sufficient conditions

Cite

@article{arxiv.2010.06951,
  title  = {Some applications of interpolating sequences for Banach spaces of analytic functions},
  author = {Hamzeh Keshavarzi},
  journal= {arXiv preprint arXiv:2010.06951},
  year   = {2020}
}

Comments

9 pages, any comments/addition would be appreciated

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