We show that every non-compact weighted composition operator f u (f ) acting on a Hardy space H p for 1 p < fixes an isomorphic copy of the sequence space p and therefore fails to be strictly singular. We also characterize those weighted composition operators on H p which fix a copy of the Hilbert space 2 . These results extend earlier ones obtained for unweighted composition operators.
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Lindström et al. (2020) studied this question.
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