On norm-attaining functionals
Maria D. Acosta, Vicente Montesinos (2006)
Acta Universitatis Carolinae. Mathematica et Physica
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Maria D. Acosta, Vicente Montesinos (2006)
Acta Universitatis Carolinae. Mathematica et Physica
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Joan Wick Pelletier, Robert D. Rosebrugh (1979)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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V. Montesinos (1987)
Studia Mathematica
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J. Väisälä (1992)
Studia Mathematica
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We show that a normed space E is a Banach space if and only if there is no bilipschitz map of E onto E ∖ {0}.
Sudeshna Basu, T. Rao (1998)
Colloquium Mathematicae
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Wilansky, A. (1979)
Portugaliae mathematica
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Benavides, T.Domínguez (2010)
Fixed Point Theory and Applications [electronic only]
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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.