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\(c_0\) is isometrically isomorphic to a subspace of Cantor-Lebesgue functions - MaRDI portal

\(c_0\) is isometrically isomorphic to a subspace of Cantor-Lebesgue functions (Q2257691)

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\(c_0\) is isometrically isomorphic to a subspace of Cantor-Lebesgue functions
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    \(c_0\) is isometrically isomorphic to a subspace of Cantor-Lebesgue functions (English)
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    26 February 2015
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    The author proves that \(c_0\) is isometrically isomorphic to a subspace of continuous almost everywhere differentiable functions on the real interval \([0,1]\) with almost everywhere null derivative and that are non-Lipschitz. This improves a result on the lineability of this set of functions stated in [\textit{P. Jiménez-Rodríguez} et al., Linear Algebra Appl. 437, No. 4, 1174--1181 (2012; Zbl 1267.46037)].
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    lineability
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    spaceability
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    non-Lipschitz function
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    Cantor-Lebesgue function
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