## 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

Zbl 0675.46006
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