Geodesic
Continuous Convex $\mathrm{MS}$-Differentiable Function Need not Be $\mathrm{HL}$-Differentiable
Matematičeskie zametki, Tome 91 (2012) no. 2, pp. 163-171.

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We construct here an example of a continuous convex function on a locally convex space, which is $\mathrm{MS}$-differentiable at a point, but is not $\mathrm{HL}$-differentiable at this point.
Keywords: topological vector space, convex function, $\mathrm{MS}$-differentiability, $\mathrm{HL}$-differentiability, Fréchet differentiability, balanced absorbing subset, Minkowski function. 
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V. I. Averbukh; T. Konderla. Continuous Convex $\mathrm{MS}$-Differentiable Function Need not Be $\mathrm{HL}$-Differentiable. Matematičeskie zametki, Tome 91 (2012) no. 2, pp. 163-171. http://geodesic.mathdoc.fr/item/MZM_2012_91_2_a0/

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