Complex symmetry of linear fractional composition operators on a half-plane

Fuente: arXiv
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Main Authors: Fávaro, V. V., Hai, P. V., Severiano, O. R.
Format: Preprint
Published: 2022
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author Fávaro, V. V.
Hai, P. V.
Severiano, O. R.
author_facet Fávaro, V. V.
Hai, P. V.
Severiano, O. R.
contents We investigate the bounded composition operators induced by linear fractional self-maps of the right half-plane $\mathbb{C}_+$ on the Hardy space $H^2(\mathbb{C}_+).$ We completely characterize which of these operators are cohyponormal and we find conjugations for the linear fractional composition operators that are complex symmetric.
format Preprint
id arxiv_https___arxiv_org_abs_2204_09146
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Complex symmetry of linear fractional composition operators on a half-plane
Fávaro, V. V.
Hai, P. V.
Severiano, O. R.
Functional Analysis
We investigate the bounded composition operators induced by linear fractional self-maps of the right half-plane $\mathbb{C}_+$ on the Hardy space $H^2(\mathbb{C}_+).$ We completely characterize which of these operators are cohyponormal and we find conjugations for the linear fractional composition operators that are complex symmetric.
title Complex symmetry of linear fractional composition operators on a half-plane
topic Functional Analysis
url https://arxiv.org/abs/2204.09146