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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…