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Lipschitz Asplund spaces

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Renormings in Banach Spaces

Part of the book series: Monografie Matematyczne ((MONOGRAFIE,volume 75))

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Abstract

Every Banach space with a Fréchet differentiable bump is Asplund. This is the result of Ekeland and Lebourg [EkLe76] (see (iv) in Theorem 275) that generalizes the fact that every Banach space whose norm is Fréchet differentiable is an Asplund space (see (ii) in Theorem 275).

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Guirao, A.J., Montesinos, V., Zizler, V. (2022). Lipschitz Asplund spaces. In: Renormings in Banach Spaces. Monografie Matematyczne, vol 75. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-08655-7_36

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