Abstract
Given a normed space (X, ‖ · ‖), by X** we denote the space (X*)* with the norm \( \left\| F \right\| = \mathop {\sup }\limits_{f \in {B_x}*} \left| {F(f)} \right| \). We define higher duals by induction as X*** = (X**)*, etc.
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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). Weak Topologies. 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_3
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DOI: https://doi.org/10.1007/978-1-4757-3480-5_3
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