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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 wikiPageID "15488971".
- Goldstine_theorem wikiPageLength "2382".
- Goldstine_theorem wikiPageOutDegree "15".
- Goldstine_theorem wikiPageRevisionID "677003949".
- Goldstine_theorem wikiPageWikiLink Banach_space.
- Goldstine_theorem wikiPageWikiLink Banach–Alaoglu_theorem.
- Goldstine_theorem wikiPageWikiLink Bishop–Phelps_theorem.
- Goldstine_theorem wikiPageWikiLink C0_space.
- Goldstine_theorem wikiPageWikiLink Category:Banach_spaces.
- Goldstine_theorem wikiPageWikiLink Category:Theorems_in_functional_analysis.
- Goldstine_theorem wikiPageWikiLink Dense_set.
- Goldstine_theorem wikiPageWikiLink Dual_space.
- Goldstine_theorem wikiPageWikiLink Eberlein–Šmulian_theorem.
- Goldstine_theorem wikiPageWikiLink Functional_analysis.
- Goldstine_theorem wikiPageWikiLink Herman_Goldstine.
- Goldstine_theorem wikiPageWikiLink James_theorem.
- Goldstine_theorem wikiPageWikiLink Lp_space.
- Goldstine_theorem wikiPageWikiLink Mazurs_lemma.
- Goldstine_theorem wikiPageWikiLink Sequence_space.
- Goldstine_theorem wikiPageWikiLink Weak_topology.
- Goldstine_theorem wikiPageWikiLinkText "Goldstine theorem".
- Goldstine_theorem hasPhotoCollection Goldstine_theorem.
- Goldstine_theorem wikiPageUsesTemplate Template:Functional_Analysis.
- Goldstine_theorem wikiPageUsesTemplate Template:Math.
- Goldstine_theorem wikiPageUsesTemplate Template:Mvar.
- Goldstine_theorem subject Category:Banach_spaces.
- Goldstine_theorem subject Category:Theorems_in_functional_analysis.
- Goldstine_theorem type Function.
- Goldstine_theorem type Space.
- Goldstine_theorem type Theorem.
- 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∞.".
- Goldstine_theorem label "Goldstine theorem".
- Goldstine_theorem sameAs Théorème_de_Goldstine.
- Goldstine_theorem sameAs Twierdzenie_Goldstinea.
- Goldstine_theorem sameAs m.03mbzt0.
- Goldstine_theorem sameAs Q3088644.
- Goldstine_theorem sameAs Q3088644.
- Goldstine_theorem wasDerivedFrom Goldstine_theorem?oldid=677003949.
- Goldstine_theorem isPrimaryTopicOf Goldstine_theorem.