Fréchet vs. Gâteaux differentiability of Lipschitzian functions
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- by Maria Gieraltowska-Kedzierska and F. S. Van Vleck PDF
- Proc. Amer. Math. Soc. 114 (1992), 905-907 Request permission
Abstract:
Examples have been given of Lipschitzian functions that are Gâteaux-differentiable everywhere, but nowhere Fréchet-differentiable. One such example has been reported, mistakenly, in several papers as having domain in ${L^2}([0,\pi ])$, when it should have been ${L^1}([0,\pi ])$. We discuss this example.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 905-907
- MSC: Primary 26E15; Secondary 26A16, 46G05, 49J50
- DOI: https://doi.org/10.1090/S0002-9939-1992-1010805-X
- MathSciNet review: 1010805