Extended eigenvalues of composition operators

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URI: http://hdl.handle.net/10498/25779

DOI: 10.1016/j.jmaa.2021.125427

ISSN: 0022-247X

ISSN: 1096-0813 (internet)

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Author/s
Lacruz, Miguel; León Saavedra, FernandoAuthority UCA; Petrovic, Srdjan; Rodríguez-Piazza, Luis
Date
2021-12
Department
Matemáticas
Source
J. Math.Anal.Appl.504(2021)125427
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
Subjects
Extended eigenvalue; Composition operator; Hardy space; Linear fractional transformation
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional