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Continuous convex MS-differentiable function need not Be HL-differentiable

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Abstract

We construct here an example of a continuous convex function on a locally convex space, which is MS-differentiable at a point, but is not HL-differentiable at this point.

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References

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Correspondence to V. Averbuch.

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Published in Russian in Matematicheskie Zametki, 2012, Vol. 91, No. 2, pp. 163–171.

The text was submitted by the authors in English.

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Averbuch, V., Konderla, T. Continuous convex MS-differentiable function need not Be HL-differentiable. Math Notes 91, 153–160 (2012). https://doi.org/10.1134/S0001434612010178

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  • DOI: https://doi.org/10.1134/S0001434612010178

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