I am looking for a non linear operator on a Hilbert space whose Frechet derivative is a compact operator? Any examples.
2026-03-27 00:02:51.1774569771
Example of non linear operator whose derivative is compact on a Hilbert space?
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Perhaps $$ f\longmapsto \int_0^1 f^2(t) d t $$ defined on $L^2(0,1)\to \mathbb{R}$