On Exposed (Symmetric) Tensors
Sheldon Dantas, Martin Mazzitelli, Jorge Tomás Rodríguez
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.
Create a lesson
Related papers
Unitarily invariant norms
Stephan Ramon Garcia, Javad Mashreghi, Marek Ptak et al.
Mathematical Koans and Cartan Convexity: Γ-Convex Hulls and Butterfly Realizations
J. E. Pascoe
The frame set of the first Hermite function
Markus Faulhuber, Philipp Petersen
F-Transitivity of Translation Semigroups on Directed Metric Trees
Xiang Chen, Li Zhang, Zehua Zhou
Invariant subspaces for free linearizations of Lipschitz maps
Clément Coine, Pedro L. Kaufmann, Colin Petitjean et al.
On cost-induced Santaló-type inequalities in Polish measure spaces
Dylan Langharst, Andreas Malliaris, Michael Roysdon