@misc{10498/25779,
year = {2021},
month = {12},
url = {http://hdl.handle.net/10498/25779},
abstract = {A complex scalar lambda is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there is a nonzero operator X such that AX = lambda XA. The results in this paper provide a full solution to the problem of computing the extended eigenvalues for those composition operators C-phi induced on the Hardy space H-2(D) by linear fractional transformations phi of the unit disk. (c) 2021 Universidad de Sevilla. Published by Elsevier Inc},
organization = {The first and fourth authors were supported by Ministerio de Ciencia, Innovacion y Universidades under Grant MTM 2015-63699-P, and by Fondo Europeo de Desarrollo Regional under Grant PGC2018-094215-B-I00. The second author was also supported by Fondo Europeo de Desarrollo Regional under Grant PGC2018-101514-B-I00, and by Junta de Andalucia under Grant FEDER-UCA18-108415. The first author visited Western Michigan University at an early stage of this research. He would like to acknowledge the warm hospitality received from the third author. He is grateful to the Mathematics Department of WMU for covering local expenses and for the commitment to this global engagement.The third author visited Universidad de Sevilla several times at later stages of this research. He would like to thank the first and fourth authors for making possible this cooperation. He also acknowledges the Ministerio de Ciencia, Innovacion y Universidades for the sponsorship under Grant MTM 2015-6399-P, and the people at Instituto de Matematicas for the organization of his visits.},
publisher = {ELSEVIER},
keywords = {Extended eigenvalue},
keywords = {Composition operator},
keywords = {Hardy space},
keywords = {Linear fractional transformation},
title = {Extended eigenvalues of composition operators},
doi = {10.1016/j.jmaa.2021.125427},
author = {Lacruz, Miguel and León Saavedra, Fernando and Petrovic, Srdjan and Rodríguez-Piazza, Luis},
}