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A brief note about iterates of derivatives in C[0, 1] and other spaces

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Abstract

We use elementary iterated function techniques to show there is a function in C[0, 1] whose iterated derivatives are dense in C[0, 1] and provide several related results.

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Authors and Affiliations

  1. MSCS Department, St. Olaf College, Northfield, MN, 55057, USA

    Bruce Hanson, Paul D. Humke & David Walmsley

Authors
  1. Bruce Hanson
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  2. Paul D. Humke
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  3. David Walmsley
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Correspondence to Paul D. Humke.

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Hanson, B., Humke, P.D. & Walmsley, D. A brief note about iterates of derivatives in C[0, 1] and other spaces. European Journal of Mathematics 5, 150–154 (2019). https://doi.org/10.1007/s40879-018-0301-6

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  • DOI: https://doi.org/10.1007/s40879-018-0301-6

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