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functional analysis - Proof that a linear map T is bounded if and only if the inverse image of the unit ball has nonempty interior - Mathematics Stack Exchange
2. Vector spaces of functions We consider vector spaces over the field R to simplify the presentation, most results carry on to
Lecture 30: Recall: Lemma: Let W be a (norm-) closed subspace of an NVS X. Let y ∈ X \ W. Then there is an f ∈ X s.t. f(y) &
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