%0 Journal Article %A Lacruz, Miguel %A León Saavedra, Fernando %A Petrovic, Srdjan %A Rodríguez-Piazza, Luis %T Extended eigenvalues of composition operators %D 2021 %@ 0022-247X %U http://hdl.handle.net/10498/25779 %X 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 %K Extended eigenvalue %K Composition operator %K Hardy space %K Linear fractional transformation %~ Universidad de Cádiz