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The \(\lambda\)-function in the space \(P(^2\ell_2^2)\) - MaRDI portal

The \(\lambda\)-function in the space \(P(^2\ell_2^2)\) (Q1297707)

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scientific article; zbMATH DE number 1335402
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The \(\lambda\)-function in the space \(P(^2\ell_2^2)\)
scientific article; zbMATH DE number 1335402

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    The \(\lambda\)-function in the space \(P(^2\ell_2^2)\) (English)
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    3 October 1999
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    The \(\lambda\)-function for (the unit ball of) a Banach space is a certain quite specific function related to convexity and the extreme point structure [see \textit{R. H. Lohman}, Contemp. Math. 85, 345-354 (1989; Zbl 0675.46006)]. The authors calculate the \(\lambda\)-function for the space of real-valued 2-homogeneous polynomials on the real space \(\ell^2\).
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    extreme points
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    \(\lambda\)-property
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    convexity
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    extreme point structure
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    2-homogeneous polynomials
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