Abstract
In this chapter, we will first discuss the properties of smoothness in ℓ p spaces and in Hilbert spaces. Then we study spaces that have countable James boundary in connection with their higher order smoothness, and its applications. In particular, we study spaces of continuous functions on countable compact spaces.
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Fabian, M., Habala, P., Hájek, P., Montesinos, V., Zizler, V. (2011). Higher Order Smoothness. In: Banach Space Theory. CMS Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7515-7_10
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DOI: https://doi.org/10.1007/978-1-4419-7515-7_10
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