#mazur's_lemma
Mazur's lemma
On strongly convergent combinations of a weakly convergent sequence in a Banach space
In mathematics, Mazur's lemma is a result in the theory of normed vector spaces. It shows that any weakly convergent sequence in a normed space has a sequence of convex combinations of its members that converges strongly to the same limit, and is used in the proof of Tonelli's theorem.
Mon 12th
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