Eklund, Ted; Lindström, Mikael; Mleczko, Paweł; Rzeczkowski, Michał Spectra of weighted composition operators on abstract Hardy spaces. (English) Zbl 1450.47015 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 1, 267-279 (2019). Summary: In the paper, the spectra of weighted composition operators on Hardy-type spaces of holomorphic functions on the unit disc of the complex plane are studied. The spectra of invertible operators induced by elliptic and parabolic automorphisms are described, for weighted composition operators acting on abstract Hardy spaces generated by Banach lattices. We also study spectra of weighted composition operators (not necessarily invertible) on Hardy-Lorentz spaces. Cited in 1 Document MSC: 47B33 Linear composition operators 47A10 Spectrum, resolvent 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46E15 Banach spaces of continuous, differentiable or analytic functions 46L70 Nonassociative selfadjoint operator algebras 30H10 Hardy spaces Keywords:weighted composition operator; spectrum; automorphism; Hardy spaces; rearrangement invariant spaces PDFBibTeX XMLCite \textit{T. Eklund} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 1, 267--279 (2019; Zbl 1450.47015) Full Text: DOI References: [1] Asekritova, I., Kruglyak, N.: Necessary and sufficient conditions for invertibility of operators in spaces of real interpolation. J. Funct. Anal. 264(1), 207-245 (2013) · Zbl 1279.46012 · doi:10.1016/j.jfa.2012.10.007 [2] Asekritova, I., Kruglyak, N., Mastyło, M.: Interpolation of Fredholm operators. Adv. 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