Mazur's lemma

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Template:Short description 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.

Statement of the lemma

Template:Math theorem

See also

References

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Template:Functional analysis Template:Convex analysis and variational analysis