11 citations · 40 across the 25 of their papers we have counts for
7 papers · 1 filter
A strictly convex and smooth Banach space with the Daugavet property
Sheldon Dantas, Jaan Kristjan Kaasik, Yoël Perreau
We construct equivalent norms on , arbitrarily close to the usual -norm, which are weakly midpoint locally uniformly rotund and Gâteaux smooth, and whose dual norms…
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…
On operators whose adjoints or second adjoints attain their norms
Sheldon Dantas, Mingu Jung, Miguel Martín
A long-standing open problem asks whether there exists an infinite-dimensional Banach space on which every bounded linear operator attains its norm. With and $…
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…
On the Bollobás theorem for complex -spaces
Sheldon Dantas, Helena del Río
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 almo…
A group action approach to the Daugavet property
Sheldon Dantas, Helena del Río, 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…