### Operators Factoring through Banach Lattices and Ideal Norms

A new, unified presentation of the ideal norms of factorization of operators through Banach lattices and related ideal norms is given.

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A new, unified presentation of the ideal norms of factorization of operators through Banach lattices and related ideal norms is given.

Algorithms are given for constructing a polytope P with n vertices (facets), contained in (or containing) a given convex body K in ${\mathbb{R}}^{d}$, so that the ratio of the volumes |K∖P|/|K| (or |P∖K|/|K|) is smaller than $f\left(d\right)/{n}^{2/(d-1)}$.

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