Matches in DBpedia 2015-10 for { ?s ?p "In functional analysis, a branch of mathematics, the Goldstine theorem, named after Herman Goldstine, is stated as follows:Goldstine Theorem. Let X be a Banach space, then the image of the closed unit ball B ⊂ X under the canonical embedding into the closed unit ball B′′ of the bidual space X ′′ is weak*-dense.The conclusion of the theorem is not true for the norm topology, which can be seen by considering the Banach space of real sequences that converge to zero, c0, and its bi-dual space ℓ∞."@en }
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- Goldstine_theorem abstract "In functional analysis, a branch of mathematics, the Goldstine theorem, named after Herman Goldstine, is stated as follows:Goldstine Theorem. Let X be a Banach space, then the image of the closed unit ball B ⊂ X under the canonical embedding into the closed unit ball B′′ of the bidual space X ′′ is weak*-dense.The conclusion of the theorem is not true for the norm topology, which can be seen by considering the Banach space of real sequences that converge to zero, c0, and its bi-dual space ℓ∞.".
- Goldstine_theorem comment "In functional analysis, a branch of mathematics, the Goldstine theorem, named after Herman Goldstine, is stated as follows:Goldstine Theorem. Let X be a Banach space, then the image of the closed unit ball B ⊂ X under the canonical embedding into the closed unit ball B′′ of the bidual space X ′′ is weak*-dense.The conclusion of the theorem is not true for the norm topology, which can be seen by considering the Banach space of real sequences that converge to zero, c0, and its bi-dual space ℓ∞.".