Geodesic
A Dual characterization of Banach Spaces With the Convex Point-of-Continuity Property
Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 274-280

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We introduce a new type of differentiability, called cofinite Fréchet differentiability. We show that the convex point-of-continuity property of Banach spaces is dual to the cofinite Fréchet differentiability of all equivalent norms. A corresponding result for dual spaces with the weak* convex point-of-continuity property is also established. 
Hare, D. E. G. A Dual characterization of Banach Spaces With the Convex Point-of-Continuity Property. Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 274-280. doi: 10.4153/CMB-1989-040-0
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     title = {A {Dual} characterization of {Banach} {Spaces} {With} the {Convex} {Point-of-Continuity} {Property}},
     journal = {Canadian mathematical bulletin},
     pages = {274--280},
     year = {1989},
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     doi = {10.4153/CMB-1989-040-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-040-0/}
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