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math.FA2024
Weak operator Daugavet property and weakly open sets in tensor product spaces
Abraham Rueda Zoca
We obtain new progresses about the diameter two property and the Daugavet property in tensor product spaces. Namely, the main results of the paper are: -If has the WODP, then…
math.FA2024
Projective tensor products where every element is norm-attaining
Luis C. García-Lirola, Juan Guerrero-Viu, Abraham Rueda Zoca
In this paper we analyse when every element of attains its projective norm. We prove that this is the case if is the dual of a subspace of a predual of…
math.FA2024
Slice diameter two property in ultrapowers
Abraham Rueda Zoca
In this note we study the inheritance of the slice diameter two property by ultrapower spaces. Given a Banach space , we give a characterisation of when , the ul…