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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

1 vote

Which topology for compactness and continuity?

It seems to me that you don't want to define $H$ on $A$ at all. Rather, you want to define it on $A/\sim$ where $f\sim g$ if $f=g$ almost everywhere. Give $A$ the uniform topology and $A/\sim$ the q …
Keith Penrod's user avatar