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Dual representations of convex sets and Gâteaux differentiability spaces - MaRDI portal

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Dual representations of convex sets and Gâteaux differentiability spaces (Q1819205)

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scientific article; zbMATH DE number 1385265
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English
Dual representations of convex sets and Gâteaux differentiability spaces
scientific article; zbMATH DE number 1385265

    Statements

    Dual representations of convex sets and Gâteaux differentiability spaces (English)
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    11 July 2000
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    In this article of five sections, the author studies a few properties of convex sets by duality. Section 1 is introductory. Tangent and exposed points are addressed in Section 2. The content of Section 3 and 4 is mostly a detailed presentation of the results announced in Dokl. Akad. Nauk SSSR 354, No. 5, 597-599 (1997). In Section 5 the author introduces Gâteaux differentiability locally convex spaces and studies their general properties.
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    convex body
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    exposed point
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    Gâteaux differentiability space
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    convex sets
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