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math.FA2016
Diameter two properties, convexity and smoothness
Trond A. Abrahamsen, Vegard Lima, Olav Nygaard +1
We study smoothness and strict convexity of (the bidual) of Banach spaces in the presence of diameter 2 properties. We prove that the strong diameter 2 property prevents the bidual…
math.FA2016
Almost square and octahedral norms in tensor products of Banach spaces
Johann Langemets, Vegard Lima, Abraham Rueda Zoca
The aim of this note is to study some geometrical properties like diameter two properties, octahedrality and almost squareness in the setting of (symmetric) tensor product spaces.…