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This article is cited in 14 scientific papers (total in 14 papers)
The Subspace of $C[0,1]$ Consisting of Functions Having Finite One-Sided Derivatives Nowhere
E. I. Berezhnoi P. G. Demidov Yaroslavl State University
Abstract:
We construct a closed infinite-dimensional subspace $G\subset C[0,1]$giving an affirmative answer to the old question: Does there exist an infinite-dimensional closed subspace $G\subset C[0,1]$ such that each (not identically zero) function $y\in G$ has neither a right-hand nor a left-hand finite derivative at any point.
Received: 15.12.2000 Revised: 14.12.2001
Citation:
E. I. Berezhnoi, “The Subspace of $C[0,1]$ Consisting of Functions Having Finite One-Sided Derivatives Nowhere”, Mat. Zametki, 73:3 (2003), 348–354; Math. Notes, 73:3 (2003), 321–327
Linking options:
https://www.mathnet.ru/eng/mzm191https://doi.org/10.4213/mzm191 https://www.mathnet.ru/eng/mzm/v73/i3/p348
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Abstract page: | 1062 | Full-text PDF : | 235 | References: | 75 | First page: | 1 |
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