Displaying similar documents to “Boundedness and surjectivity in normed spaces.”

Banach spaces and bilipschitz maps

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}.

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.