Differentiability of Lipschitz functions on a space with uniformly Gateaux differentiable norm

被引:0
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作者
Giles, J. R. [1 ]
机构
[1] Univ Newcastle, Sch Math & Phys Sci, Newcastle, NSW 2305, Australia
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
On a normed linear space with uniformly Gateaux differentiable norm a locally Lipschitz function which satisfies a property relating the Dini derivatives to a constant determined by the Michel-Penot derivative possesses significant differentiability properties. This generalises previous joint work with Simon Fitzpatrick.
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页码:751 / 758
页数:8
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