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

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Example of a compact operator that is not uniformly continuous

I want to find a Banach space $E$ and a compact operator $K:[0,1]\times E \rightarrow E$ (that is, $K$ maps every bounded sequence onto a sequence that converges up to a subsequence) satisfying the fo …
Vinicius Ramos's user avatar