Given two differential operators say $D_1$ and $D_2$ is there any meaningful way to define distance between them, does there exist some metric $d(D_1,D_2)$ that satisfies all the necessary properties? If there isn't a simple/natural way to define distance then what restrictions would it take to think about distance between differential operators? I know in general the operator is unbounded, and (correct me if I'm wrong) that means you can't define a topology induced by the norm.
2026-03-26 12:40:15.1774528815
Distance between differential operators
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