Strong subdifferentiability of norms and geometry of Banach spaces
Godefroy, Gilles ; Montesinos, Vicente ; Zizler, Václav
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995), p. 493-502 / Harvested from Czech Digital Mathematics Library
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The strong subdifferentiability of norms (i.e\. one-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.

Publié le : 1995-01-01
Classification:  46B03,  46B20,  46B26 
@article{118778,
     author = {Gilles Godefroy and Vicente Montesinos and V\'aclav Zizler},
     title = {Strong subdifferentiability of norms and geometry of Banach spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {36},
     year = {1995},
     pages = {493-502},
     zbl = {0844.46006},
     mrnumber = {1364490},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118778}
}

Godefroy, Gilles; Montesinos, Vicente; Zizler, Václav. Strong subdifferentiability of norms and geometry of Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 493-502. http://gdmltest.u-ga.fr/item/118778/

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