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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
arXiv:math/0412551v1 [math.FA] 31 Dec 2004
Full article: Sufficient conditions for normal structure in a Banach space
FUNCTIONAL ANALYSIS Contents 1. Metric and topological spaces ...
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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) &