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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—The Columbia Encyclopedia, Fifth Edition, the first sentence of the article on “life” (based on wording in the First Edition, 1935)
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—Ralph Waldo Emerson (1803–1882)