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

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Strictly convex norm on an infinite-dimensional Hilbert space

Question: Consider the Hilbert space $ H=\ell^2(\mathbb{Z})$. Let ${\rm L}(H)$ be the set of all linear operators on $H$ onto itself. Find a norm $N$ and a domain $DN\subset {\rm L}(H)$ for $N$ sat …
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