Linear maps preserving inner functions
Volume 244 / 2019
Studia Mathematica 244 (2019), 99-107 MSC: Primary 15A86; Secondary 30J05, 47B33. DOI: 10.4064/sm170724-13-12 Published online: 11 May 2018
We show that, for many holomorphic function spaces on the unit disk, a continuous endomorphism that sends inner functions to inner functions is necessarily a weighted composition operator.