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Spot functions and peripherals: Krein-Milman type theorems in an abstract setting (Q750821)

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scientific article; zbMATH DE number 4175730
Language Label Description Also known as
English
Spot functions and peripherals: Krein-Milman type theorems in an abstract setting
scientific article; zbMATH DE number 4175730

    Statements

    title
    Spot functions and peripherals: Krein-Milman type theorems in an abstract setting (English)
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    author
    Andrzej Wieczorek
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    publication date
    1989
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    review text
    The aim of the present paper is a deep analysis of the Krein-Milman type theorems. The author introduces two basic concepts: the concept of a spot function, which is a function with domain and range in the subsets of a given set X and which carries the idea of convexity; and the concept of a peripheral, which is a relation in the subsets of X and contains the idea of extreme set. From the main theorem generalizations of results of Fuchssteiner, Ky Fan and Van de Vel are derived.
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    zbMATH Keywords
    spot function
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    peripheral
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    convexity
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    analysis of the Krein-Milman type theorems
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    Identifiers

    Mathematics Subject Classification ID
    46A55
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    52A07
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    52A35
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    zbMATH DE Number
    4175730
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    OpenAlex ID
    W2010980842
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