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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Every separable Banach space is isometric to a space of continuous nowhere differentiable functions


Author: L. Rodríguez-Piazza
Journal: Proc. Amer. Math. Soc. 123 (1995), 3649-3654
MSC: Primary 46B04; Secondary 26A27, 46E15
MathSciNet review: 1328375
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1328375-8
PII: S 0002-9939(1995)1328375-8
Keywords: Continuous nondifferentiable functions, Banach spaces, isometric linear embeddings
Article copyright: © Copyright 1995 American Mathematical Society