Locally Lipschitz functions are generically pseudo-regular on separable Banach spaces
1993 ◽
Vol 47
(2)
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pp. 205-212
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Keyword(s):
For a locally Lipschitz function on a separable Banach space the set of points of Gâteaux differentiability is dense but not necessarily residual. However, the set of points where the upper Dini derivative and the Clarke derivative agree is residual. It follows immediately that the set of points of intermediate differentiability is also residual and the set of points where the function is Gâteaux but not strictly differentiable is of the first category.
2003 ◽
Vol 2003
(1)
◽
pp. 19-31
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2014 ◽
Vol 90
(2)
◽
pp. 257-263
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1997 ◽
Vol 40
(1)
◽
pp. 88-102
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1995 ◽
Vol 87
(3)
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pp. 579-594
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Keyword(s):
1990 ◽
Vol 41
(2)
◽
pp. 271-281
1971 ◽
Vol 14
(1)
◽
pp. 119-120
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2015 ◽
Vol 93
(2)
◽
pp. 283-294
Keyword(s):
2015 ◽
Vol 368
(7)
◽
pp. 4685-4730
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Keyword(s):
2005 ◽
Vol 2005
(24)
◽
pp. 3895-3908
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2014 ◽
Vol 12
(03)
◽
pp. 1450024