3 papers
math.FA2026
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…
math.FA2025
Bollobás-type theorems for range strongly exposing operators
Helena Del Río
We study Bollobás-type theorems for range strongly exposing operators. When such a theorem holds for operators from a Banach space into another Banach space , we say that th…
math.FA2025
Range strongly exposing operators between Banach spaces
Geunsu Choi, Helena del Río, Audrey Fovelle +2
We introduce a new class of bounded linear operators, called range strongly exposing (RSE) operators, which form a natural intermediate class: weaker than Bourgain's absolutely str…