Conjugations in $L^2$ and their invariants
Functional Analysis
2020-01-01 v1 Mathematical Physics
math.MP
Abstract
Conjugations in space of the unit circle commuting with multiplication by or intertwining multiplications by and are characterized. We also study their behaviour with respect to the Hardy space, subspaces invariant for the unilateral shift and model spaces.
Cite
@article{arxiv.1912.13265,
title = {Conjugations in $L^2$ and their invariants},
author = {M. Cristina Câmara and Kamila Kliś--Garlicka and Bartosz Łanucha and Marek Ptak},
journal= {arXiv preprint arXiv:1912.13265},
year = {2020}
}