Goldstine theorem
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In functional analysis, a branch of mathematics, the Goldstine theorem, named after Herman Goldstine, expresses the fact that a Banach space is weak*-dense in its bidual space.
More precisely:
[edit] Statement
For a Banach space X the canonical imbedding jX(BX) of its unit ball into its bidual is weak*-dense in the unit ball of its bidual.