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arXiv · 2609.01835

On Exposed (Symmetric) Tensors

Sheldon Dantas·Martin Mazzitelli·Jorge Tomás Rodríguez
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Abstract

We provide an example of a projective tensor product whose unit ball contains an exposed tensor which is not elementary. We then transfer the construction to the symmetric projective tensor product and obtain an analogous result in that setting. Finally, we extend both constructions to projective tensor products with an arbitrary number of factors and to symmetric projective tensor products of every degree.

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Sheldon Dantas, Martin Mazzitelli, Jorge Tomás Rodríguez. 2026-09-01. On Exposed (Symmetric) Tensors. https://arxiv.org/abs/2609.01835

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