Invertible weighted composition operators |
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Authors: | Gajath Gunatillake |
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Institution: | a American University of Sharjah, United Arab Emirates |
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Abstract: | A weighted composition operator Cψ,φ takes an analytic map f on the open unit disc of the complex plane to the analytic map ψ⋅f°φ where φ is an analytic map of the open unit disc into itself and ψ is an analytic map on the open unit disc. This paper studies the invertibility of such operators. The two maps ψ and φ are characterized when Cψ,φ acts on the Hardy-Hilbert space of the unit disc H2(D). Depending upon the nature of the fixed points of φ spectra are then investigated. |
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Keywords: | Weighted composition operators Invertible operators Spectra Hardy space |
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