Displaying similar documents to “The geometry of L p -spaces over atomless measure spaces and the Daugavet property.”

On Edmunds-Triebel spaces.

Nikolova, L., Zachariades, T. (2010)

Banach Journal of Mathematical Analysis [electronic only]

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Strong proximinality and polyhedral spaces.

Gilles Godefroy, V. Indumathi (2001)

Revista Matemática Complutense

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In any dual space X*, the set QP of quasi-polyhedral points is contained in the set SSD of points of strong subdifferentiability of the norm which is itself contained in the set NA of norm attaining functionals. We show that NA and SSD coincide if and only if every proximinal hyperplane of X is strongly proximinal, and that if QP and NA coincide then every finite codimensional proximinal subspace of X is strongly proximinal. Natural examples and applications are provided.