On rough norms on Banach spaces
Kamil John, Václav Zizler (1978)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “Dual renormings of Banach spaces”
On rough norms on Banach spaces
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.