Convex Bodies Associated to Tensor Norms
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Publication:5208228
zbMath1442.46056arXiv1807.05625MaRDI QIDQ5208228
Luisa F. Higueras-Montaño, Maite Fernández-Unzueta
Publication date: 15 January 2020
Full work available at URL: https://arxiv.org/abs/1807.05625
Minkowski spaceconvex bodyBanach-Mazur distancetensor normtensor product of convex setslinear mappings on tensor spaces
Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Tensor products in functional analysis (46M05)
Related Items (3)
A general theory of tensor products of convex sets in Euclidean spaces ⋮ A hyperspace of convex bodies arising from tensor norms ⋮ On the topology of some hyperspaces of convex bodies associated to tensor norms
Cites Work
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- Tensor Decompositions and Applications
- On the geometry of projective tensor products
- Locally decodable codes and the failure of cotype for projective tensor products
- Transformations on tensor product spaces
- On the structure of tensor products of \(\ell_ p\)-spaces
- Additive preservers of non-zero decomposable tensors
- Transformations on tensor spaces
- Grothendieck-Type Inequalities in Combinatorial Optimization
- On Generic Nonexistence of the Schmidt--Eckart--Young Decomposition for Complex Tensors
- How often is a random quantum statek-entangled?
- New Bell inequalities for the singlet state: Going beyond the Grothendieck bound
- Numerical tensor calculus
- Transformations on tensor spaces II
- 3-query locally decodable codes of subexponential length
- The Segre cone of Banach spaces and multilinear mappings
- Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
- Alice and Bob Meet Banach
- Grothendieck’s Theorem, past and present
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