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weak convergence∗
matte†
2013-03-21 18:41:10
Suppose X is a topological vector space, X 0 is the continuous dual of X, and
x0 , x1 , . . . is a sequence in X. Then we say that xi converges weakly to x ∈ X if
lim f (xi ) = f (x)
i→∞
w
for every f ∈ X 0 . The notation for this is xi −
→ x.
∗ hWeakConvergencei created: h2013-03-21i by: hmattei version: h36723i Privacy setting:
h1i hDefinitioni h46-00i
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