3 papers
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
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…
math.FA2023
Lineability on nets and uncountable sequences of functions in measure theory
Daniel L. Rodríguez-Vidanes
In general, some of the well known results of measure theory dealing with the convergence of sequences of functions such as the Dominated Convergence Theorem or the Monotone Conver…