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Matematicheskie Zametki, 2003, Volume 73, Issue 3, Pages 348–354
DOI: https://doi.org/10.4213/mzm191 (Mi mzm191) 		 
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
Full-text PDF (191 kB) Citations (14)
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DOI: https://doi.org/10.4213/mzm191
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
English version:
Mathematical Notes, 2003, Volume 73, Issue 3, Pages 321–327
DOI: https://doi.org/10.1023/A:1023257809975
Bibliographic databases:
UDC: 513.88
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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