Abstract
The differentiability of a norm of a Banach space may be characterized by its unit sphere. This paper generalizes these geometric conditions of norm's differentiability to the case of a regular locally Lipschitz function.
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Supported by the National Natural Science Foundation of China
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Shuzhong, S., Bingwu, W. Geometric conditions of differentiability for a regular locally Lipschitz function. Acta Mathematica Sinica 14, 209–222 (1998). https://doi.org/10.1007/BF02560208
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DOI: https://doi.org/10.1007/BF02560208