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math.FA2024
Twisted Hilbert spaces defined by bi-Lipschitz maps
Willian Corrêa, Sheldon Dantas, Daniel L. Rodríguez-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 th…
math.FA2024
Searching for linear structures in the failure of the Stone-Weierstrass theorem
Marc Caballer, Sheldon Dantas, Daniel L. Rodríguez-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…
math.FA2024
Algebraic genericity of certain families of nets in Functional Analysis
Sheldon Dantas, Daniel L. Rodríguez-Vidanes
In Functional Analysis, certain conclusions apply to sequences, but they cannot be carried over when we consider nets. In fact, some nets, including sequences, can behave unexpecte…