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Every Separable Banach Space is Isometric to a Space of Continuous Nowhere Differentiable Functions

L. Rodríguez-Piazza
Proceedings of the American Mathematical Society
Vol. 123, No. 12 (Dec., 1995), pp. 3649-3654
DOI: 10.2307/2161889
Stable URL: http://www.jstor.org/stable/2161889
Page Count: 6
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Every Separable Banach Space is Isometric to a Space of Continuous Nowhere Differentiable Functions
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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.

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