Rodríguez-Piazza, L. Every separable Banach space is isometric to a space of continuous nowhere differentiable functions. (English) Zbl 0844.46007 Proc. Am. Math. Soc. 123, No. 12, 3649-3654 (1995). Summary: 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. Cited in 5 ReviewsCited in 32 Documents MSC: 46B04 Isometric theory of Banach spaces 26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives Keywords:every separable Banach space is isometric to a space of continuous nowhere differentiable functions; isometric linear embeddings PDFBibTeX XMLCite \textit{L. Rodríguez-Piazza}, Proc. Am. Math. Soc. 123, No. 12, 3649--3654 (1995; Zbl 0844.46007) Full Text: DOI