PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Linear maps preserving inner functions

Volume 244 / 2019

Javad Mashreghi, Thomas Ransford Studia Mathematica 244 (2019), 99-107 MSC: Primary 15A86; Secondary 30J05, 47B33. DOI: 10.4064/sm170724-13-12 Published online: 11 May 2018

Abstract

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.

Authors

  • Javad MashreghiDépartement de mathématiques et de statistique
    Université Laval
    Québec, Canada G1V 0A6
    e-mail
  • Thomas RansfordDépartement de mathématiques et de statistique
    Université Laval
    Québec, Canada G1V 0A6
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image