5 papers
On Exposed (Symmetric) Tensors
Sheldon Dantas, Martin Mazzitelli, Jorge Tomás Rodríguez
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 projecti…
Concentration theorems for -homogeneous polynomials and bilinear forms with applications to the Kadec-Klee properties
Sheldon Dantas, Jorge Tomás Rodríguez
We study Kadec-Klee properties in spaces of homogeneous polynomials and multilinear forms by presenting optimal results. Indeed, our main tool is a family of concentration theorems…
Fourier inequalities in variable Lebesgue spaces
Rodrigo Cardeccia, Matías I. Caruso, Martin Mazzitelli +1
We study the boundedness of the Fourier transform on variable Lebesgue spaces. We obtain necessary conditions and, independently, sufficient conditions on the exponents …
On the strong subdifferentiability of the homogeneous polynomials and (symmetric) tensor products
Sheldon Dantas, Mingu Jung, Martin Mazzitelli +1
In this paper, we study the (uniform) strong subdifferentiability of the norms of the Banach spaces , and $\hat{\…
Homomorphisms on algebras of analytic functions on non-symmetrically regular spaces
Daniel Carando, Verónica Dimant, Jorge Tomás Rodríguez
We study homomorphisms on the algebra of analytic functions of bounded type on a Banach space. When the domain space lacks symmetric regularity, we show that in every fiber of the…