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math.GT2019★ 1 cited
A hyperspace of convex bodies arising from tensor norms
Luisa F. Higueras-Montaño
In a preceding work it is determined when a centrally symmetric convex body in is the closed unit ball of a reasonable crossnorm on $\mathbb{R}^{…
math.FA2019★ 4 cited
A General Theory of Tensor Products of Convex Sets in Euclidean Spaces
Maite Fernández-Unzueta, Luisa F. Higueras-Montaño
We introduce both the notions of tensor product of convex bodies that contain zero in the interior, and of tensor product of -symmetric convex bodies in Euclidean spaces. We pro…