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Norms of composition operators on the Hardy space. (English) Zbl 0862.47015

Summary: We show that the norm of a composition operator on the classical Hardy space \(H^2\) cannot be computed using only the set of \(H^2\) reproducing kernels, answering a question raised by Cowen and MacCluer.

MSC:

47B38 Linear operators on function spaces (general)
46E22 Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces)
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References:

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