Adjoints of composition operators on Hilbert spaces of analytic functions |
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| Authors: | Marí a J. Martí n |
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| Affiliation: | Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain |
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| Abstract: | We observe that a formula for the adjoint of a composition operator, known only for special symbols in some spaces of analytic functions, actually holds for every admissible symbol and in any Hilbert space of analytic functions with reproducing kernels. Along with some new results, all known formulas for the adjoint obtained so far follow easily as a consequence, some in an improved form. |
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| Keywords: | Composition operator Adjoint Hilbert spaces Hardy space Weighted Bergman space Dirichlet space |
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