Every separable Banach space is isometric to a space of continuous nowhere differentiable functions
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- by L. Rodríguez-Piazza PDF
- Proc. Amer. Math. Soc. 123 (1995), 3649-3654 Request permission
Abstract:
We prove the result stated in the title; that is, every separable Banach space is linearly isometric to a closed subspace E of the space of continuous functions on [0, 1], such that every nonzero function in E is nowhere differentiable.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3649-3654
- MSC: Primary 46B04; Secondary 26A27, 46E15
- DOI: https://doi.org/10.1090/S0002-9939-1995-1328375-8
- MathSciNet review: 1328375