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- Hahn–Banach_theorem abstract "In mathematics, the Hahn–Banach Theorem is a central tool in functional analysis. It allows the extension of bounded linear functionals defined on a subspace of some vector space to the whole space, and it also shows that there are "enough" continuous linear functionals defined on every normed vector space to make the study of the dual space "interesting". Another version of Hahn–Banach theorem is known as Hahn–Banach separation theorem or the separating hyperplane theorem, and has numerous uses in convex geometry. It is named for Hans Hahn and Stefan Banach who proved this theorem independently in the late 1920s, although a special case was proved earlier (in 1912) by Eduard Helly, and a general extension theorem from which the Hahn–Banach theorem can be derived was proved in 1923 by Marcel Riesz.".
- Hahn–Banach_theorem wikiPageID "13860".
- Hahn–Banach_theorem wikiPageRevisionID "605472538".
- Hahn–Banach_theorem id "p/h046130".
- Hahn–Banach_theorem title "Hahn-Banach theorem".
- Hahn–Banach_theorem subject Category:Functional_analysis.
- Hahn–Banach_theorem subject Category:Theorems_in_functional_analysis.
- Hahn–Banach_theorem comment "In mathematics, the Hahn–Banach Theorem is a central tool in functional analysis. It allows the extension of bounded linear functionals defined on a subspace of some vector space to the whole space, and it also shows that there are "enough" continuous linear functionals defined on every normed vector space to make the study of the dual space "interesting".".
- Hahn–Banach_theorem label "Hahn–Banach theorem".
- Hahn–Banach_theorem label "Satz von Hahn-Banach".
- Hahn–Banach_theorem label "Stelling van Hahn-Banach".
- Hahn–Banach_theorem label "Teorema de Hahn-Banach".
- Hahn–Banach_theorem label "Teorema de Hahn–Banach".
- Hahn–Banach_theorem label "Teorema di Hahn-Banach".
- Hahn–Banach_theorem label "Théorème de Hahn-Banach".
- Hahn–Banach_theorem label "Twierdzenie Hahna-Banacha".
- Hahn–Banach_theorem label "Теорема Хана — Банаха".
- Hahn–Banach_theorem label "نظرية هان-باناخ".
- Hahn–Banach_theorem label "ハーン-バナッハの定理".
- Hahn–Banach_theorem label "哈恩－巴拿赫定理".
- Hahn–Banach_theorem sameAs Hahn%E2%80%93Banach_theorem.
- Hahn–Banach_theorem sameAs Hahnova-Banachova_věta.
- Hahn–Banach_theorem sameAs Satz_von_Hahn-Banach.
- Hahn–Banach_theorem sameAs Teorema_de_Hahn–Banach.
- Hahn–Banach_theorem sameAs Théorème_de_Hahn-Banach.
- Hahn–Banach_theorem sameAs Teorema_di_Hahn-Banach.
- Hahn–Banach_theorem sameAs ハーン-バナッハの定理.
- Hahn–Banach_theorem sameAs 한-바나흐_정리.
- Hahn–Banach_theorem sameAs Stelling_van_Hahn-Banach.
- Hahn–Banach_theorem sameAs Twierdzenie_Hahna-Banacha.
- Hahn–Banach_theorem sameAs Teorema_de_Hahn-Banach.
- Hahn–Banach_theorem sameAs Q866116.
- Hahn–Banach_theorem sameAs Q866116.
- Hahn–Banach_theorem wasDerivedFrom Hahn–Banach_theorem?oldid=605472538.