Displaying similar documents to “On rough norms on Banach spaces”

Dual renormings of Banach spaces

Petr Hájek (1996)

Commentationes Mathematicae Universitatis Carolinae

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We prove that a Banach space admitting an equivalent WUR norm is an Asplund space. Some related dual renormings are also presented.

Strong subdifferentiability of norms and geometry of Banach spaces

Gilles Godefroy, Vicente Montesinos, Václav Zizler (1995)

Commentationes Mathematicae Universitatis Carolinae

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The strong subdifferentiability of norms (i.eȯne-sided differentiability uniform in directions) is studied in connection with some structural properties of Banach spaces. It is shown that every separable Banach space with nonseparable dual admits a norm that is nowhere strongly subdifferentiable except at the origin. On the other hand, every Banach space with a strongly subdifferentiable norm is Asplund.