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Darboux property of Gâteaux derivatives of functions on \({\mathbb R}^n\)

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Publication:949880
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DOI10.1007/s10474-008-6181-3zbMath1174.26009OpenAlexW2058802508MaRDI QIDQ949880

Petr Holický, Marianna Csörnyei

Publication date: 21 October 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-008-6181-3


zbMATH Keywords

connected graphapproximate derivativeGâteaux derivativeDarboux properties


Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Real-valued functions in general topology (54C30)




Cites Work

  • Unnamed Item
  • The Darboux property for gradients
  • Graphs of Gâteaux derivatives are \(w^*\)-connected
  • On the range of the derivative of Gâteaux-smooth functions on separable Banach spaces
  • Differentiation of Real Functions
  • On the range of the derivatives of a smooth function between Banach spaces


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