Weak Convergence (Hilbert Space) - Definition

Definition

A sequence of points in a Hilbert space H is said to converge weakly to a point x in H if

for all y in H. Here, is understood to be the inner product on the Hilbert space. The notation

is sometimes used to denote this kind of convergence.

Read more about this topic:  Weak Convergence (Hilbert Space)

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