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- W2892209747 abstract "We show that every non-compact weighted composition operator $f mapsto ucdot (fcircphi)$ acting on a Hardy space $H^p$ for $1 leq p < infty$ fixes an isomorphic copy of the sequence space $ell^p$ 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 $ell^2$. These results extend earlier ones obtained for unweighted composition operators." @default.
- W2892209747 created "2018-09-27" @default.
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- W2892209747 date "2018-09-13" @default.
- W2892209747 modified "2023-09-24" @default.
- W2892209747 title "Rigidity of weighted composition operators on $H^p$" @default.
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