Support functionals and their relation to the Radon-Nikodym property.
Sadeqi, I. (2004)
International Journal of Mathematics and Mathematical Sciences
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Sadeqi, I. (2004)
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V. Montesinos (1987)
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Fixed Point Theory and Applications [electronic only]
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W. Szlenk (1968)
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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.