Abstract
Let f be a real-valued function on an open subset U of a Banach space X. Let x ∈ U. We say that f is Gâteaux differentiable at x if there is F ∈ X* such that
for every h ∈ X.
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© 2001 Springer Science+Business Media New York
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Fabian, M., Habala, P., Hájek, P., Santalucía, V.M., Pelant, J., Zizler, V. (2001). Differentiability of Norms. In: Functional Analysis and Infinite-Dimensional Geometry. Canadian Mathematical Society / Société mathématique du Canada. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3480-5_8
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DOI: https://doi.org/10.1007/978-1-4757-3480-5_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2912-9
Online ISBN: 978-1-4757-3480-5
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