English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We introduce both the notions of tensor product of convex bodies that containzero in the interior, and of tensor product of $0$-symmetric convex bodies inEuclidean spaces. We prove that there is a bijection between tensor products of$0$-symmetric convex bodies and tensor norms on finite dimensional spaces. Thisbijection preserves duality, injectivity and projectivity. We obtain aformulation of Grothendieck`s Theorem for $0$-symmetric convex bodies and useit to give a geometric representation (up to the $K_G$-constant) of theHilbertian tensor product. We see that the property of having enough symmetriesis preserved by these tensor products, and exhibit relations with the L\"ownerand the John ellipsoids.

A General Theory of Tensor Products of Convex Sets in Euclidean Spaces