From the 1 of 3 linked papers with an AI index.
3 papers
The Daugavet property is equivalent to the polynomial Daugavet property
Sheldon Dantas, Miguel MartÃn, Yoël Perreau
The authors show that the Daugavet property for Banach spaces is equivalent to its polynomial version, and they extend this equivalence to related operator and tensor product setti…
Twisted Hilbert spaces defined by bi-Lipschitz maps
Willian Corrêa, Sheldon Dantas, Daniel L. RodrÃguez-Vidanes
We obtain an infinite-dimensional cone of singular twisted Hilbert spaces which are isomorphic to their duals but not to their conjugate duals. We do that by showing that t…
Searching for linear structures in the failure of the Stone-Weierstrass theorem
Marc Caballer, Sheldon Dantas, Daniel L. RodrÃguez-Vidanes
We investigate the failure of the Stone-Weierstrass theorem focusing on the existence of large dimensional vector spaces within the set $\mathcal{C}(L, \mathbb{K}) \setminus \overl…