From the 1 of 3 linked papers with an AI index.
3 papers
Strongly regular Banach spaces with big weakly open subsets in the unit ball
Ginés López-Pérez, Abraham Rueda Zoca
The authors construct, for each 1 < p < ∞, a Banach space whose bidual is strongly regular and that contains a closed convex symmetric set in its unit ball such that every non‑empt…
Big weak open radius versus big slice diameter
Ginés López-Pérez, Esteban MartÃnez Vañó, Abraham Rueda Zoca
We show that there exists a Banach space in which every non-empty weakly open subset of its unit ball has radius one, the maximum possible value, but the infimum of the diameter of…
Computing Borel complexity of some geometrical properties in Banach spaces
Ginés López-Pérez, Esteban MartÃnez Vañó, Abraham Rueda Zoca
We compute the Borel complexity of some classes of Banach spaces such as different versions of diameter two properties, spaces satisfying the Daugavet equation or spaces with an oc…