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Every Separable Banach Space is Isometric to a Space of Continuous Nowhere Differentiable Functions
Proceedings of the American Mathematical Society
Vol. 123, No. 12 (Dec., 1995), pp. 3649-3654
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2161889
Page Count: 6
You can always find the topics here!Topics: Mathematical functions, Separable spaces, Banach space, Differentiable functions, Integers, Mathematical theorems, Linear transformations, Continuous functions, Embeddings, Mathematics
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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.
Proceedings of the American Mathematical Society © 1995 American Mathematical Society