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The \(\lambda\)-function in the space \(P(^2\ell_2^2)\). (English) Zbl 0946.46039
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 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 \(\ell^2\).
MSC:
46G25 (Spaces of) multilinear mappings, polynomials
46B20 Geometry and structure of normed linear spaces
46E15 Banach spaces of continuous, differentiable or analytic functions
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