Abstract of a paper by Mohammed Bachir (UP1), Adrien Fabre
4 Mar
2018
4 Mar
'18
3:57 p.m.
This is an announcement for the paper “GÂteaux-Differentiability of Convex Functions in Infinite Dimension” by Mohammed Bachir<https://arxiv.org/find/math/1/au:+Bachir_M/0/1/0/all/0/1> (UP1), Adrien Fabre<https://arxiv.org/find/math/1/au:+Fabre_A/0/1/0/all/0/1>. Abstract: It is well known that in $R^n$ , G{\^a}teaux (hence Fr{\'e}chet) differ-entiability of a convex continuous function at some point is equivalent to the existence of the partial derivatives at this point. We prove that this result extends naturally to certain infinite dimensional vector spaces, in particular to Banach spaces having a Schauder basis. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1802.07633
2842
Age (days ago)
2842
Last active (days ago)
0 comments
1 participants
participants (1)
-
Bentuo Zheng (bzheng)