3 papers
math.FA2022
Transfinite almost square Banach spaces
Antonio Avilés, Stefano Ciaci, Johann Langemets +2
It is known that a Banach space contains an isomorphic copy of if, and only if, it can be equivalently renormed to be almost square. We introduce and study transfinite versio…
math.FA2021
Attaining strong diameter two property for infinite cardinals
Stefano Ciaci, Johann Langemets, Aleksei Lissitsin
We extend the (attaining of) strong diameter two property to infinite cardinals. In particular, a Banach space has the 1-norming attaining strong diameter two property with respect…
math.FA2021
A characterization of Banach spaces containing via ball-covering properties
Stefano Ciaci, Johann Langemets, Aleksei Lissitsin
In 1989, G. Godefroy proved that a Banach space contains an isomorphic copy of if and only if it can be equivalently renormed to be octahedral. It is known that octahedral…