6 papers
Concentration theorems for -homogeneous polynomials and bilinear forms with applications to the Kadec-Klee properties
Sheldon Dantas, Jorge Tomás RodrÃguez
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…
On the Bollobás theorem for complex -spaces
Sheldon Dantas, Helena del RÃo
Let and be compact Hausdorff spaces. We prove a Bollobás-type theorem for operators between complex spaces of continuous functions. More precisely, every operator that alm…
A group action approach to the Daugavet property
Sheldon Dantas, Helena del RÃo, Tomáš Raunig
We introduce the -Daugavet property (-DPr, for short) for Banach spaces endowed with an action of a group by surjective linear isometries. This notion provides a common f…
Linear structures in the set of non-norm-attaining operators on Banach spaces
Sheldon Dantas, Javier Falcó, Mingu Jung +1
We study large linear structures inside sets arising in the theory of norm-attaining operators. We provide several results in the context of lineability, spaceability, maximal-spac…
Integral representations of projective norm-attaining tensors
Ramón J. Aliaga, Sheldon Dantas, Juan Guerrero-Viu +2
We introduce a Bochner integral approach to projective norm attainment in tensor products of Banach spaces by defining the class of integral projective norm-attaining tensors. This…
Group equivariant Radon-Nikodým property and its characterizations
Sheldon Dantas, Michal Doucha, Mingu Jung +1
We introduce and study equivariant versions of the Radon-Nikodým property for Banach spaces, together with the closely related notions such as dentability, the Bishop-Phelps and K…