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Some applications of support functionals (sets) in \(C^\ast\)-algebras and convexity - MaRDI portal

Some applications of support functionals (sets) in \(C^\ast\)-algebras and convexity (Q2761899)

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scientific article; zbMATH DE number 1686476
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English
Some applications of support functionals (sets) in \(C^\ast\)-algebras and convexity
scientific article; zbMATH DE number 1686476

    Statements

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    7 January 2002
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    Banach algebra
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    support sets
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    support functional
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    convexity
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    proximinality
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    approximation
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    positive bounded linear functionals
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    characters
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    Some applications of support functionals (sets) in \(C^\ast\)-algebras and convexity (English)
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    The authors of this very short paper investigate support points in \(C^{\ast }\)-algebras. The relations of the support points with positive bounded linear functionals and the characters are discussed as well. It is shown several applications of the support functionals in connection with positive functionals and Hermitian elements in a \(C^{\ast }\)-algebra.
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