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)
International Journal of Mathematics and Mathematical Sciences
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V. Montesinos (1987)
Studia Mathematica
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Benavides, T.Domínguez (2010)
Fixed Point Theory and Applications [electronic only]
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W. Szlenk (1968)
Studia Mathematica
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Sudeshna Basu, T. Rao (1998)
Colloquium Mathematicae
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Marián Fabian, Gilles Godefroy (1988)
Studia Mathematica
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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.
Anatolij M. Plichko, David Yost (2000)
Extracta Mathematicae
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Does a given Banach space have any non-trivial complemented subspaces? Usually, the answer is: yes, quite a lot. Sometimes the answer is: no, none at all.