@article{c7f32cbcbeb34169ae3c2ee027af2694,
title = "Characterizations of binormal composition operators with linear fractional symbols on H2",
abstract = "For an analytic function φ:D→D, the composition operator Cφ is the operator on the Hardy space H2 defined by Cφf = f φ for all f in H2. In this paper, we give necessary and sufficient conditions for the composition operator Cφ to be binormal where the symbol φ is a linear fractional selfmap of D. Furthermore, we show that Cφ is binormal if and only if it is centered when φ is an automorphism of D or φ(z) = sz + t, |s| + |t| ≤ 1. We also characterize several properties of binormal composition operators with linear fractional symbols on H2.",
keywords = "Binormal, Centered, Composition operator",
author = "Sungeun Jung and Yoenha Kim and Eungil Ko",
note = "Funding Information: This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea Government (MSIP) (No. 2009-0083521 ) and was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education ( 2009-0093827 ). The first author was supported by Hankuk University of Foreign Studies Research Fund of 2015. Publisher Copyright: {\textcopyright} 2015 Elsevier Inc. All rights reserved.",
year = "2015",
month = jun,
day = "15",
doi = "10.1016/j.amc.2015.03.096",
language = "English",
volume = "261",
pages = "252--263",
journal = "Applied Mathematics and Computation",
issn = "0096-3003",
publisher = "Elsevier Inc.",
}