Asplund spaces for beginners
David Yost (1993)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Rough and strongly rough norms on Banach spaces”
Asplund spaces for beginners
The dual of every Asplund space admits a projectional resolution of the identity
Marián Fabian, Gilles Godefroy (1988)
Studia Mathematica
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On a characterization of reflexive Banach spaces
Emilia Perri (1983)
Rendiconti del Seminario Matematico della Università di Padova
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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.