English

Normaloid Weighted Composition Operators on $H^2$

Functional Analysis 2018-07-27 v3

Abstract

When \ph\ is an analytic self-map of the unit disk with Denjoy-Wolff point a\Da \in \D, and ρ(\W)=ψ(a)\rho(\W) = \psi(a), we give an exact characterization for when \W\ is normaloid. We also determine the spectral radius, essential spectral radius, and essential norm for a class of non-compact composition operators whose symbols have Denjoy-Wolff point in \D. When the Denjoy-Wolff point is on \D\partial \D, we give sufficient conditions for several new classes of normaloid weighted composition operators.

Keywords

Cite

@article{arxiv.1711.09461,
  title  = {Normaloid Weighted Composition Operators on $H^2$},
  author = {Derek Thompson},
  journal= {arXiv preprint arXiv:1711.09461},
  year   = {2018}
}
R2 v1 2026-06-22T22:57:18.871Z